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Finding the Fourth Proportional to 447.24, 616.76 and 278.96

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Solution

The fourth proportional to 447.24, 616.76 and 278.96 is: 384.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.24 : 616.76 = 278.96 : x
  2. Step 2: Convert to fraction form
    447.24/616.76 = 278.96/x
  3. Step 3: Cross multiply
    447.24x = 616.76 × 278.96
  4. Step 4: Simplify right side
    447.24x = 172,051.37
  5. Step 5: Solve for x
    x = 172,051.37/447.24
  6. Step 6: Final answer
    x = 384.70

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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.