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Finding the Fourth Proportional to 715.97, 988.04 and 401.25

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Solution

The fourth proportional to 715.97, 988.04 and 401.25 is: 553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.97 : 988.04 = 401.25 : x
  2. Step 2: Convert to fraction form
    715.97/988.04 = 401.25/x
  3. Step 3: Cross multiply
    715.97x = 988.04 × 401.25
  4. Step 4: Simplify right side
    715.97x = 396,455.76
  5. Step 5: Solve for x
    x = 396,455.76/715.97
  6. Step 6: Final answer
    x = 553.73

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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.