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Finding the Fourth Proportional to 337.07, 462.38 and 322.89

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Solution

The fourth proportional to 337.07, 462.38 and 322.89 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.07 : 462.38 = 322.89 : x
  2. Step 2: Convert to fraction form
    337.07/462.38 = 322.89/x
  3. Step 3: Cross multiply
    337.07x = 462.38 × 322.89
  4. Step 4: Simplify right side
    337.07x = 149,296.26
  5. Step 5: Solve for x
    x = 149,296.26/337.07
  6. Step 6: Final answer
    x = 442.93

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.