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Finding the Fourth Proportional to 640.16, 959.52 and 457.28

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Solution

The fourth proportional to 640.16, 959.52 and 457.28 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.16 : 959.52 = 457.28 : x
  2. Step 2: Convert to fraction form
    640.16/959.52 = 457.28/x
  3. Step 3: Cross multiply
    640.16x = 959.52 × 457.28
  4. Step 4: Simplify right side
    640.16x = 438,769.31
  5. Step 5: Solve for x
    x = 438,769.31/640.16
  6. Step 6: Final answer
    x = 685.41

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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.