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Finding the Fourth Proportional to 801.52, 1,202.40 and 288.48

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Solution

The fourth proportional to 801.52, 1,202.40 and 288.48 is: 432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.52 : 1,202.40 = 288.48 : x
  2. Step 2: Convert to fraction form
    801.52/1,202.40 = 288.48/x
  3. Step 3: Cross multiply
    801.52x = 1,202.40 × 288.48
  4. Step 4: Simplify right side
    801.52x = 346,868.35
  5. Step 5: Solve for x
    x = 346,868.35/801.52
  6. Step 6: Final answer
    x = 432.76

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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.