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Finding the Fourth Proportional to 458.26, 686.81 and 252.32

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Solution

The fourth proportional to 458.26, 686.81 and 252.32 is: 378.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.26 : 686.81 = 252.32 : x
  2. Step 2: Convert to fraction form
    458.26/686.81 = 252.32/x
  3. Step 3: Cross multiply
    458.26x = 686.81 × 252.32
  4. Step 4: Simplify right side
    458.26x = 173,293.10
  5. Step 5: Solve for x
    x = 173,293.10/458.26
  6. Step 6: Final answer
    x = 378.16

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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.