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Finding the Fourth Proportional to 716.22, 988.47 and 421.38

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Solution

The fourth proportional to 716.22, 988.47 and 421.38 is: 581.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.22 : 988.47 = 421.38 : x
  2. Step 2: Convert to fraction form
    716.22/988.47 = 421.38/x
  3. Step 3: Cross multiply
    716.22x = 988.47 × 421.38
  4. Step 4: Simplify right side
    716.22x = 416,521.49
  5. Step 5: Solve for x
    x = 416,521.49/716.22
  6. Step 6: Final answer
    x = 581.56

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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.