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Finding the Fourth Proportional to 337.23, 502.83 and 336.78

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Solution

The fourth proportional to 337.23, 502.83 and 336.78 is: 502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.23 : 502.83 = 336.78 : x
  2. Step 2: Convert to fraction form
    337.23/502.83 = 336.78/x
  3. Step 3: Cross multiply
    337.23x = 502.83 × 336.78
  4. Step 4: Simplify right side
    337.23x = 169,343.09
  5. Step 5: Solve for x
    x = 169,343.09/337.23
  6. Step 6: Final answer
    x = 502.16

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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.