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Finding the Fourth Proportional to 640.44, 959.72 and 457.92

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Solution

The fourth proportional to 640.44, 959.72 and 457.92 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.44 : 959.72 = 457.92 : x
  2. Step 2: Convert to fraction form
    640.44/959.72 = 457.92/x
  3. Step 3: Cross multiply
    640.44x = 959.72 × 457.92
  4. Step 4: Simplify right side
    640.44x = 439,472.69
  5. Step 5: Solve for x
    x = 439,472.69/640.44
  6. Step 6: Final answer
    x = 686.20

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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.