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Finding the Fourth Proportional to 337.96, 503.57 and 324.04

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Solution

The fourth proportional to 337.96, 503.57 and 324.04 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 503.57 = 324.04 : x
  2. Step 2: Convert to fraction form
    337.96/503.57 = 324.04/x
  3. Step 3: Cross multiply
    337.96x = 503.57 × 324.04
  4. Step 4: Simplify right side
    337.96x = 163,176.82
  5. Step 5: Solve for x
    x = 163,176.82/337.96
  6. Step 6: Final answer
    x = 482.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.