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Finding the Fourth Proportional to 641.52, 960.47 and 488.07

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Solution

The fourth proportional to 641.52, 960.47 and 488.07 is: 730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 960.47 = 488.07 : x
  2. Step 2: Convert to fraction form
    641.52/960.47 = 488.07/x
  3. Step 3: Cross multiply
    641.52x = 960.47 × 488.07
  4. Step 4: Simplify right side
    641.52x = 468,775.98
  5. Step 5: Solve for x
    x = 468,775.98/641.52
  6. Step 6: Final answer
    x = 730.73

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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.