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Finding the Fourth Proportional to 506.64, 759.14 and 458.04

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Solution

The fourth proportional to 506.64, 759.14 and 458.04 is: 686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 759.14 = 458.04 : x
  2. Step 2: Convert to fraction form
    506.64/759.14 = 458.04/x
  3. Step 3: Cross multiply
    506.64x = 759.14 × 458.04
  4. Step 4: Simplify right side
    506.64x = 347,716.49
  5. Step 5: Solve for x
    x = 347,716.49/506.64
  6. Step 6: Final answer
    x = 686.32

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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.