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Finding the Fourth Proportional to 524.86, 723.90 and 338.38

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Solution

The fourth proportional to 524.86, 723.90 and 338.38 is: 466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.86 : 723.90 = 338.38 : x
  2. Step 2: Convert to fraction form
    524.86/723.90 = 338.38/x
  3. Step 3: Cross multiply
    524.86x = 723.90 × 338.38
  4. Step 4: Simplify right side
    524.86x = 244,953.28
  5. Step 5: Solve for x
    x = 244,953.28/524.86
  6. Step 6: Final answer
    x = 466.70

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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.