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Finding the Fourth Proportional to 563.40, 777.52 and 314.74

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Solution

The fourth proportional to 563.40, 777.52 and 314.74 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.40 : 777.52 = 314.74 : x
  2. Step 2: Convert to fraction form
    563.40/777.52 = 314.74/x
  3. Step 3: Cross multiply
    563.40x = 777.52 × 314.74
  4. Step 4: Simplify right side
    563.40x = 244,716.64
  5. Step 5: Solve for x
    x = 244,716.64/563.40
  6. Step 6: Final answer
    x = 434.36

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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.