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Finding the Fourth Proportional to 332.24, 458.24 and 288.50

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Solution

The fourth proportional to 332.24, 458.24 and 288.50 is: 397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.24 : 458.24 = 288.50 : x
  2. Step 2: Convert to fraction form
    332.24/458.24 = 288.50/x
  3. Step 3: Cross multiply
    332.24x = 458.24 × 288.50
  4. Step 4: Simplify right side
    332.24x = 132,202.24
  5. Step 5: Solve for x
    x = 132,202.24/332.24
  6. Step 6: Final answer
    x = 397.91

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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.