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Finding the Fourth Proportional to 716.38, 988.54 and 401.66

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Solution

The fourth proportional to 716.38, 988.54 and 401.66 is: 554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.38 : 988.54 = 401.66 : x
  2. Step 2: Convert to fraction form
    716.38/988.54 = 401.66/x
  3. Step 3: Cross multiply
    716.38x = 988.54 × 401.66
  4. Step 4: Simplify right side
    716.38x = 397,050.03
  5. Step 5: Solve for x
    x = 397,050.03/716.38
  6. Step 6: Final answer
    x = 554.24

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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.