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Finding the Fourth Proportional to 716.43, 988.82 and 421.77

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Solution

The fourth proportional to 716.43, 988.82 and 421.77 is: 582.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.43 : 988.82 = 421.77 : x
  2. Step 2: Convert to fraction form
    716.43/988.82 = 421.77/x
  3. Step 3: Cross multiply
    716.43x = 988.82 × 421.77
  4. Step 4: Simplify right side
    716.43x = 417,054.61
  5. Step 5: Solve for x
    x = 417,054.61/716.43
  6. Step 6: Final answer
    x = 582.13

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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.