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Finding the Fourth Proportional to 716.61, 989.01 and 421.88

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Solution

The fourth proportional to 716.61, 989.01 and 421.88 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.61 : 989.01 = 421.88 : x
  2. Step 2: Convert to fraction form
    716.61/989.01 = 421.88/x
  3. Step 3: Cross multiply
    716.61x = 989.01 × 421.88
  4. Step 4: Simplify right side
    716.61x = 417,238.59
  5. Step 5: Solve for x
    x = 417,238.59/716.61
  6. Step 6: Final answer
    x = 582.24

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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.