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Finding the Fourth Proportional to 458.73, 688.10 and 416.97

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Solution

The fourth proportional to 458.73, 688.10 and 416.97 is: 625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 688.10 = 416.97 : x
  2. Step 2: Convert to fraction form
    458.73/688.10 = 416.97/x
  3. Step 3: Cross multiply
    458.73x = 688.10 × 416.97
  4. Step 4: Simplify right side
    458.73x = 286,914.97
  5. Step 5: Solve for x
    x = 286,914.97/458.73
  6. Step 6: Final answer
    x = 625.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.