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Finding the Fourth Proportional to 524.70, 723.88 and 338.17

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Solution

The fourth proportional to 524.70, 723.88 and 338.17 is: 466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.70 : 723.88 = 338.17 : x
  2. Step 2: Convert to fraction form
    524.70/723.88 = 338.17/x
  3. Step 3: Cross multiply
    524.70x = 723.88 × 338.17
  4. Step 4: Simplify right side
    524.70x = 244,793.65
  5. Step 5: Solve for x
    x = 244,793.65/524.70
  6. Step 6: Final answer
    x = 466.54

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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.