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Finding the Fourth Proportional to 297.47, 442.72 and 286.54

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Solution

The fourth proportional to 297.47, 442.72 and 286.54 is: 426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.47 : 442.72 = 286.54 : x
  2. Step 2: Convert to fraction form
    297.47/442.72 = 286.54/x
  3. Step 3: Cross multiply
    297.47x = 442.72 × 286.54
  4. Step 4: Simplify right side
    297.47x = 126,854.63
  5. Step 5: Solve for x
    x = 126,854.63/297.47
  6. Step 6: Final answer
    x = 426.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.