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Finding the Fourth Proportional to 337.02, 502.59 and 299.68

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Solution

The fourth proportional to 337.02, 502.59 and 299.68 is: 446.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.02 : 502.59 = 299.68 : x
  2. Step 2: Convert to fraction form
    337.02/502.59 = 299.68/x
  3. Step 3: Cross multiply
    337.02x = 502.59 × 299.68
  4. Step 4: Simplify right side
    337.02x = 150,619.06
  5. Step 5: Solve for x
    x = 150,619.06/337.02
  6. Step 6: Final answer
    x = 446.92

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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.