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Finding the Fourth Proportional to 672.76, 1,009.19 and 239.82

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Solution

The fourth proportional to 672.76, 1,009.19 and 239.82 is: 359.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.76 : 1,009.19 = 239.82 : x
  2. Step 2: Convert to fraction form
    672.76/1,009.19 = 239.82/x
  3. Step 3: Cross multiply
    672.76x = 1,009.19 × 239.82
  4. Step 4: Simplify right side
    672.76x = 242,023.95
  5. Step 5: Solve for x
    x = 242,023.95/672.76
  6. Step 6: Final answer
    x = 359.75

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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.