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Finding the Fourth Proportional to 397.01, 547.36 and 286.52

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Solution

The fourth proportional to 397.01, 547.36 and 286.52 is: 395.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.01 : 547.36 = 286.52 : x
  2. Step 2: Convert to fraction form
    397.01/547.36 = 286.52/x
  3. Step 3: Cross multiply
    397.01x = 547.36 × 286.52
  4. Step 4: Simplify right side
    397.01x = 156,826.13
  5. Step 5: Solve for x
    x = 156,826.13/397.01
  6. Step 6: Final answer
    x = 395.02

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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.