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Finding the Fourth Proportional to 674.80, 929.28 and 557.20

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Solution

The fourth proportional to 674.80, 929.28 and 557.20 is: 767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.80 : 929.28 = 557.20 : x
  2. Step 2: Convert to fraction form
    674.80/929.28 = 557.20/x
  3. Step 3: Cross multiply
    674.80x = 929.28 × 557.20
  4. Step 4: Simplify right side
    674.80x = 517,794.82
  5. Step 5: Solve for x
    x = 517,794.82/674.80
  6. Step 6: Final answer
    x = 767.33

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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.