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Finding the Fourth Proportional to 563.85, 777.65 and 330.75

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Solution

The fourth proportional to 563.85, 777.65 and 330.75 is: 456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.85 : 777.65 = 330.75 : x
  2. Step 2: Convert to fraction form
    563.85/777.65 = 330.75/x
  3. Step 3: Cross multiply
    563.85x = 777.65 × 330.75
  4. Step 4: Simplify right side
    563.85x = 257,206.08
  5. Step 5: Solve for x
    x = 257,206.08/563.85
  6. Step 6: Final answer
    x = 456.16

Related Problems

Find fourth proportional to 281.93, 388.82 and 165.38
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Double scale
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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.