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Finding the Fourth Proportional to 417.72, 576.54 and 286.68

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Solution

The fourth proportional to 417.72, 576.54 and 286.68 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.72 : 576.54 = 286.68 : x
  2. Step 2: Convert to fraction form
    417.72/576.54 = 286.68/x
  3. Step 3: Cross multiply
    417.72x = 576.54 × 286.68
  4. Step 4: Simplify right side
    417.72x = 165,282.49
  5. Step 5: Solve for x
    x = 165,282.49/417.72
  6. Step 6: Final answer
    x = 395.68

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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.