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Finding the Fourth Proportional to 337.91, 465.99 and 278.69

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Solution

The fourth proportional to 337.91, 465.99 and 278.69 is: 384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.91 : 465.99 = 278.69 : x
  2. Step 2: Convert to fraction form
    337.91/465.99 = 278.69/x
  3. Step 3: Cross multiply
    337.91x = 465.99 × 278.69
  4. Step 4: Simplify right side
    337.91x = 129,866.75
  5. Step 5: Solve for x
    x = 129,866.75/337.91
  6. Step 6: Final answer
    x = 384.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.