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Finding the Fourth Proportional to 337.96, 503.69 and 337.42

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Solution

The fourth proportional to 337.96, 503.69 and 337.42 is: 502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.96 : 503.69 = 337.42 : x
  2. Step 2: Convert to fraction form
    337.96/503.69 = 337.42/x
  3. Step 3: Cross multiply
    337.96x = 503.69 × 337.42
  4. Step 4: Simplify right side
    337.96x = 169,955.08
  5. Step 5: Solve for x
    x = 169,955.08/337.96
  6. Step 6: Final answer
    x = 502.89

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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.