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Finding the Fourth Proportional to 451.97, 624.02 and 292.75

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Solution

The fourth proportional to 451.97, 624.02 and 292.75 is: 404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.97 : 624.02 = 292.75 : x
  2. Step 2: Convert to fraction form
    451.97/624.02 = 292.75/x
  3. Step 3: Cross multiply
    451.97x = 624.02 × 292.75
  4. Step 4: Simplify right side
    451.97x = 182,678.83
  5. Step 5: Solve for x
    x = 182,678.83/451.97
  6. Step 6: Final answer
    x = 404.18

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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.