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Finding the Fourth Proportional to 713.18, 984.34 and 418.52

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Solution

The fourth proportional to 713.18, 984.34 and 418.52 is: 577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.18 : 984.34 = 418.52 : x
  2. Step 2: Convert to fraction form
    713.18/984.34 = 418.52/x
  3. Step 3: Cross multiply
    713.18x = 984.34 × 418.52
  4. Step 4: Simplify right side
    713.18x = 411,965.98
  5. Step 5: Solve for x
    x = 411,965.98/713.18
  6. Step 6: Final answer
    x = 577.65

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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.