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Finding the Fourth Proportional to 563.44, 777.56 and 314.76

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Solution

The fourth proportional to 563.44, 777.56 and 314.76 is: 434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.44 : 777.56 = 314.76 : x
  2. Step 2: Convert to fraction form
    563.44/777.56 = 314.76/x
  3. Step 3: Cross multiply
    563.44x = 777.56 × 314.76
  4. Step 4: Simplify right side
    563.44x = 244,742.47
  5. Step 5: Solve for x
    x = 244,742.47/563.44
  6. Step 6: Final answer
    x = 434.38

Related Problems

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Half scale
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Double scale
Find fourth proportional to 564.44, 778.95 and 315.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.