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Finding the Fourth Proportional to 524.39, 723.99 and 338.16

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Solution

The fourth proportional to 524.39, 723.99 and 338.16 is: 466.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.39 : 723.99 = 338.16 : x
  2. Step 2: Convert to fraction form
    524.39/723.99 = 338.16/x
  3. Step 3: Cross multiply
    524.39x = 723.99 × 338.16
  4. Step 4: Simplify right side
    524.39x = 244,824.46
  5. Step 5: Solve for x
    x = 244,824.46/524.39
  6. Step 6: Final answer
    x = 466.88

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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.