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Finding the Fourth Proportional to 337.71, 503.98 and 301.26

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Solution

The fourth proportional to 337.71, 503.98 and 301.26 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 503.98 = 301.26 : x
  2. Step 2: Convert to fraction form
    337.71/503.98 = 301.26/x
  3. Step 3: Cross multiply
    337.71x = 503.98 × 301.26
  4. Step 4: Simplify right side
    337.71x = 151,829.01
  5. Step 5: Solve for x
    x = 151,829.01/337.71
  6. Step 6: Final answer
    x = 449.58

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