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Finding the Fourth Proportional to 562.97, 776.86 and 314.31

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Solution

The fourth proportional to 562.97, 776.86 and 314.31 is: 433.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.97 : 776.86 = 314.31 : x
  2. Step 2: Convert to fraction form
    562.97/776.86 = 314.31/x
  3. Step 3: Cross multiply
    562.97x = 776.86 × 314.31
  4. Step 4: Simplify right side
    562.97x = 244,170.98
  5. Step 5: Solve for x
    x = 244,170.98/562.97
  6. Step 6: Final answer
    x = 433.72

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