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Finding the Fourth Proportional to 716.48, 989.13 and 421.75

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Solution

The fourth proportional to 716.48, 989.13 and 421.75 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.48 : 989.13 = 421.75 : x
  2. Step 2: Convert to fraction form
    716.48/989.13 = 421.75/x
  3. Step 3: Cross multiply
    716.48x = 989.13 × 421.75
  4. Step 4: Simplify right side
    716.48x = 417,165.58
  5. Step 5: Solve for x
    x = 417,165.58/716.48
  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.