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Finding the Fourth Proportional to 641.52, 960.46 and 478.41

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Solution

The fourth proportional to 641.52, 960.46 and 478.41 is: 716.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.52 : 960.46 = 478.41 : x
  2. Step 2: Convert to fraction form
    641.52/960.46 = 478.41/x
  3. Step 3: Cross multiply
    641.52x = 960.46 × 478.41
  4. Step 4: Simplify right side
    641.52x = 459,488.87
  5. Step 5: Solve for x
    x = 459,488.87/641.52
  6. Step 6: Final answer
    x = 716.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.