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Finding the Fourth Proportional to 452.47, 624.71 and 284.49

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Solution

The fourth proportional to 452.47, 624.71 and 284.49 is: 392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.47 : 624.71 = 284.49 : x
  2. Step 2: Convert to fraction form
    452.47/624.71 = 284.49/x
  3. Step 3: Cross multiply
    452.47x = 624.71 × 284.49
  4. Step 4: Simplify right side
    452.47x = 177,723.75
  5. Step 5: Solve for x
    x = 177,723.75/452.47
  6. Step 6: Final answer
    x = 392.79

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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.