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Finding the Fourth Proportional to 417.60, 576.05 and 286.38

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Solution

The fourth proportional to 417.60, 576.05 and 286.38 is: 395.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.60 : 576.05 = 286.38 : x
  2. Step 2: Convert to fraction form
    417.60/576.05 = 286.38/x
  3. Step 3: Cross multiply
    417.60x = 576.05 × 286.38
  4. Step 4: Simplify right side
    417.60x = 164,967.77
  5. Step 5: Solve for x
    x = 164,967.77/417.60
  6. Step 6: Final answer
    x = 395.04

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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.