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Finding the Fourth Proportional to 452.31, 624.33 and 265.85

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Solution

The fourth proportional to 452.31, 624.33 and 265.85 is: 366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.31 : 624.33 = 265.85 : x
  2. Step 2: Convert to fraction form
    452.31/624.33 = 265.85/x
  3. Step 3: Cross multiply
    452.31x = 624.33 × 265.85
  4. Step 4: Simplify right side
    452.31x = 165,975.01
  5. Step 5: Solve for x
    x = 165,975.01/452.31
  6. Step 6: Final answer
    x = 366.95

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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.