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Finding the Fourth Proportional to 716.59, 988.84 and 421.79

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Solution

The fourth proportional to 716.59, 988.84 and 421.79 is: 582.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.59 : 988.84 = 421.79 : x
  2. Step 2: Convert to fraction form
    716.59/988.84 = 421.79/x
  3. Step 3: Cross multiply
    716.59x = 988.84 × 421.79
  4. Step 4: Simplify right side
    716.59x = 417,081.77
  5. Step 5: Solve for x
    x = 417,081.77/716.59
  6. Step 6: Final answer
    x = 582.04

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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.