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Finding the Fourth Proportional to 563.41, 777.43 and 314.68

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Solution

The fourth proportional to 563.41, 777.43 and 314.68 is: 434.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.41 : 777.43 = 314.68 : x
  2. Step 2: Convert to fraction form
    563.41/777.43 = 314.68/x
  3. Step 3: Cross multiply
    563.41x = 777.43 × 314.68
  4. Step 4: Simplify right side
    563.41x = 244,640.10
  5. Step 5: Solve for x
    x = 244,640.10/563.41
  6. Step 6: Final answer
    x = 434.21

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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.