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Finding the Fourth Proportional to 551.73, 760.41 and 458.49

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Solution

The fourth proportional to 551.73, 760.41 and 458.49 is: 631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.73 : 760.41 = 458.49 : x
  2. Step 2: Convert to fraction form
    551.73/760.41 = 458.49/x
  3. Step 3: Cross multiply
    551.73x = 760.41 × 458.49
  4. Step 4: Simplify right side
    551.73x = 348,640.38
  5. Step 5: Solve for x
    x = 348,640.38/551.73
  6. Step 6: Final answer
    x = 631.90

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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.