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Finding the Fourth Proportional to 672.80, 1,009.20 and 288.32

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Solution

The fourth proportional to 672.80, 1,009.20 and 288.32 is: 432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.80 : 1,009.20 = 288.32 : x
  2. Step 2: Convert to fraction form
    672.80/1,009.20 = 288.32/x
  3. Step 3: Cross multiply
    672.80x = 1,009.20 × 288.32
  4. Step 4: Simplify right side
    672.80x = 290,972.54
  5. Step 5: Solve for x
    x = 290,972.54/672.80
  6. Step 6: Final answer
    x = 432.48

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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.