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Finding the Fourth Proportional to 718.80, 992.17 and 420.11

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Solution

The fourth proportional to 718.80, 992.17 and 420.11 is: 579.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.80 : 992.17 = 420.11 : x
  2. Step 2: Convert to fraction form
    718.80/992.17 = 420.11/x
  3. Step 3: Cross multiply
    718.80x = 992.17 × 420.11
  4. Step 4: Simplify right side
    718.80x = 416,823.80
  5. Step 5: Solve for x
    x = 416,823.80/718.80
  6. Step 6: Final answer
    x = 579.89

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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.