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Finding the Fourth Proportional to 716.64, 988.74 and 421.92

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Solution

The fourth proportional to 716.64, 988.74 and 421.92 is: 582.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 988.74 = 421.92 : x
  2. Step 2: Convert to fraction form
    716.64/988.74 = 421.92/x
  3. Step 3: Cross multiply
    716.64x = 988.74 × 421.92
  4. Step 4: Simplify right side
    716.64x = 417,169.18
  5. Step 5: Solve for x
    x = 417,169.18/716.64
  6. Step 6: Final answer
    x = 582.12

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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.