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Finding the Fourth Proportional to 417.66, 576.61 and 277.97

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Solution

The fourth proportional to 417.66, 576.61 and 277.97 is: 383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 576.61 = 277.97 : x
  2. Step 2: Convert to fraction form
    417.66/576.61 = 277.97/x
  3. Step 3: Cross multiply
    417.66x = 576.61 × 277.97
  4. Step 4: Simplify right side
    417.66x = 160,280.28
  5. Step 5: Solve for x
    x = 160,280.28/417.66
  6. Step 6: Final answer
    x = 383.76

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Why These Related Problems?

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