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Finding the Fourth Proportional to 385.65, 532.49 and 252.91

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Solution

The fourth proportional to 385.65, 532.49 and 252.91 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.65 : 532.49 = 252.91 : x
  2. Step 2: Convert to fraction form
    385.65/532.49 = 252.91/x
  3. Step 3: Cross multiply
    385.65x = 532.49 × 252.91
  4. Step 4: Simplify right side
    385.65x = 134,672.05
  5. Step 5: Solve for x
    x = 134,672.05/385.65
  6. Step 6: Final answer
    x = 349.21

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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.