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Finding the Fourth Proportional to 524.56, 723.70 and 338.15

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Solution

The fourth proportional to 524.56, 723.70 and 338.15 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 723.70 = 338.15 : x
  2. Step 2: Convert to fraction form
    524.56/723.70 = 338.15/x
  3. Step 3: Cross multiply
    524.56x = 723.70 × 338.15
  4. Step 4: Simplify right side
    524.56x = 244,720.12
  5. Step 5: Solve for x
    x = 244,720.12/524.56
  6. Step 6: Final answer
    x = 466.53

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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.