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Finding the Fourth Proportional to 524.50, 723.60 and 338.02

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Solution

The fourth proportional to 524.50, 723.60 and 338.02 is: 466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.50 : 723.60 = 338.02 : x
  2. Step 2: Convert to fraction form
    524.50/723.60 = 338.02/x
  3. Step 3: Cross multiply
    524.50x = 723.60 × 338.02
  4. Step 4: Simplify right side
    524.50x = 244,591.27
  5. Step 5: Solve for x
    x = 244,591.27/524.50
  6. Step 6: Final answer
    x = 466.33

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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.