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Finding the Fourth Proportional to 457.49, 686.52 and 252.19

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Solution

The fourth proportional to 457.49, 686.52 and 252.19 is: 378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.49 : 686.52 = 252.19 : x
  2. Step 2: Convert to fraction form
    457.49/686.52 = 252.19/x
  3. Step 3: Cross multiply
    457.49x = 686.52 × 252.19
  4. Step 4: Simplify right side
    457.49x = 173,133.48
  5. Step 5: Solve for x
    x = 173,133.48/457.49
  6. Step 6: Final answer
    x = 378.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.