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Finding the Fourth Proportional to 452.14, 624.25 and 292.92

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Solution

The fourth proportional to 452.14, 624.25 and 292.92 is: 404.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.14 : 624.25 = 292.92 : x
  2. Step 2: Convert to fraction form
    452.14/624.25 = 292.92/x
  3. Step 3: Cross multiply
    452.14x = 624.25 × 292.92
  4. Step 4: Simplify right side
    452.14x = 182,853.85
  5. Step 5: Solve for x
    x = 182,853.85/452.14
  6. Step 6: Final answer
    x = 404.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.