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Finding the Fourth Proportional to 716, 988.15 and 401.29

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Solution

The fourth proportional to 716, 988.15 and 401.29 is: 553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    716 : 988.15 = 401.29 : x
  2. Step 2: Convert to fraction form
    716/988.15 = 401.29/x
  3. Step 3: Cross multiply
    716x = 988.15 × 401.29
  4. Step 4: Simplify right side
    716x = 396,534.71
  5. Step 5: Solve for x
    x = 396,534.71/716
  6. Step 6: Final answer
    x = 553.82

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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.