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Finding the Fourth Proportional to 562.79, 776.57 and 314.12

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Solution

The fourth proportional to 562.79, 776.57 and 314.12 is: 433.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.79 : 776.57 = 314.12 : x
  2. Step 2: Convert to fraction form
    562.79/776.57 = 314.12/x
  3. Step 3: Cross multiply
    562.79x = 776.57 × 314.12
  4. Step 4: Simplify right side
    562.79x = 243,930.71
  5. Step 5: Solve for x
    x = 243,930.71/562.79
  6. Step 6: Final answer
    x = 433.43

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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.