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Finding the Fourth Proportional to 713.67, 984.99 and 415.11

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Solution

The fourth proportional to 713.67, 984.99 and 415.11 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.67 : 984.99 = 415.11 : x
  2. Step 2: Convert to fraction form
    713.67/984.99 = 415.11/x
  3. Step 3: Cross multiply
    713.67x = 984.99 × 415.11
  4. Step 4: Simplify right side
    713.67x = 408,879.20
  5. Step 5: Solve for x
    x = 408,879.20/713.67
  6. Step 6: Final answer
    x = 572.92

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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.