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Finding the Fourth Proportional to 337.47, 459.80 and 329.95

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Solution

The fourth proportional to 337.47, 459.80 and 329.95 is: 449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.47 : 459.80 = 329.95 : x
  2. Step 2: Convert to fraction form
    337.47/459.80 = 329.95/x
  3. Step 3: Cross multiply
    337.47x = 459.80 × 329.95
  4. Step 4: Simplify right side
    337.47x = 151,710.81
  5. Step 5: Solve for x
    x = 151,710.81/337.47
  6. Step 6: Final answer
    x = 449.56

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.