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Finding the Fourth Proportional to 562.71, 776.57 and 314.03

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Solution

The fourth proportional to 562.71, 776.57 and 314.03 is: 433.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.71 : 776.57 = 314.03 : x
  2. Step 2: Convert to fraction form
    562.71/776.57 = 314.03/x
  3. Step 3: Cross multiply
    562.71x = 776.57 × 314.03
  4. Step 4: Simplify right side
    562.71x = 243,864.85
  5. Step 5: Solve for x
    x = 243,864.85/562.71
  6. Step 6: Final answer
    x = 433.38

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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.