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Finding the Fourth Proportional to 524.97, 724.08 and 338.46

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Solution

The fourth proportional to 524.97, 724.08 and 338.46 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 724.08 = 338.46 : x
  2. Step 2: Convert to fraction form
    524.97/724.08 = 338.46/x
  3. Step 3: Cross multiply
    524.97x = 724.08 × 338.46
  4. Step 4: Simplify right side
    524.97x = 245,072.12
  5. Step 5: Solve for x
    x = 245,072.12/524.97
  6. Step 6: Final answer
    x = 466.83

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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.