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Finding the Fourth Proportional to 716.13, 988.44 and 421.49

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Solution

The fourth proportional to 716.13, 988.44 and 421.49 is: 581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.13 : 988.44 = 421.49 : x
  2. Step 2: Convert to fraction form
    716.13/988.44 = 421.49/x
  3. Step 3: Cross multiply
    716.13x = 988.44 × 421.49
  4. Step 4: Simplify right side
    716.13x = 416,618.85
  5. Step 5: Solve for x
    x = 416,618.85/716.13
  6. Step 6: Final answer
    x = 581.77

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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.