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Finding the Fourth Proportional to 325.31, 488.22 and 286.87

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Solution

The fourth proportional to 325.31, 488.22 and 286.87 is: 430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.31 : 488.22 = 286.87 : x
  2. Step 2: Convert to fraction form
    325.31/488.22 = 286.87/x
  3. Step 3: Cross multiply
    325.31x = 488.22 × 286.87
  4. Step 4: Simplify right side
    325.31x = 140,053.72
  5. Step 5: Solve for x
    x = 140,053.72/325.31
  6. Step 6: Final answer
    x = 430.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.