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Finding the Fourth Proportional to 417.98, 576.45 and 277.97

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Solution

The fourth proportional to 417.98, 576.45 and 277.97 is: 383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.98 : 576.45 = 277.97 : x
  2. Step 2: Convert to fraction form
    417.98/576.45 = 277.97/x
  3. Step 3: Cross multiply
    417.98x = 576.45 × 277.97
  4. Step 4: Simplify right side
    417.98x = 160,235.81
  5. Step 5: Solve for x
    x = 160,235.81/417.98
  6. Step 6: Final answer
    x = 383.36

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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.