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Finding the Fourth Proportional to 562.80, 777.96 and 517.44

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Solution

The fourth proportional to 562.80, 777.96 and 517.44 is: 715.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.80 : 777.96 = 517.44 : x
  2. Step 2: Convert to fraction form
    562.80/777.96 = 517.44/x
  3. Step 3: Cross multiply
    562.80x = 777.96 × 517.44
  4. Step 4: Simplify right side
    562.80x = 402,547.62
  5. Step 5: Solve for x
    x = 402,547.62/562.80
  6. Step 6: Final answer
    x = 715.26

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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.