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Finding the Fourth Proportional to 641.68, 962.63 and 489.50

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Solution

The fourth proportional to 641.68, 962.63 and 489.50 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.68 : 962.63 = 489.50 : x
  2. Step 2: Convert to fraction form
    641.68/962.63 = 489.50/x
  3. Step 3: Cross multiply
    641.68x = 962.63 × 489.50
  4. Step 4: Simplify right side
    641.68x = 471,207.39
  5. Step 5: Solve for x
    x = 471,207.39/641.68
  6. Step 6: Final answer
    x = 734.33

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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.