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Finding the Fourth Proportional to 524.24, 723.03 and 337.75

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Solution

The fourth proportional to 524.24, 723.03 and 337.75 is: 465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.24 : 723.03 = 337.75 : x
  2. Step 2: Convert to fraction form
    524.24/723.03 = 337.75/x
  3. Step 3: Cross multiply
    524.24x = 723.03 × 337.75
  4. Step 4: Simplify right side
    524.24x = 244,203.38
  5. Step 5: Solve for x
    x = 244,203.38/524.24
  6. Step 6: Final answer
    x = 465.82

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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.