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Finding the Fourth Proportional to 716.71, 988.36 and 468.25

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Solution

The fourth proportional to 716.71, 988.36 and 468.25 is: 645.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.71 : 988.36 = 468.25 : x
  2. Step 2: Convert to fraction form
    716.71/988.36 = 468.25/x
  3. Step 3: Cross multiply
    716.71x = 988.36 × 468.25
  4. Step 4: Simplify right side
    716.71x = 462,799.57
  5. Step 5: Solve for x
    x = 462,799.57/716.71
  6. Step 6: Final answer
    x = 645.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.