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Finding the Fourth Proportional to 672.71, 1,008.20 and 364.82

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Solution

The fourth proportional to 672.71, 1,008.20 and 364.82 is: 546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.71 : 1,008.20 = 364.82 : x
  2. Step 2: Convert to fraction form
    672.71/1,008.20 = 364.82/x
  3. Step 3: Cross multiply
    672.71x = 1,008.20 × 364.82
  4. Step 4: Simplify right side
    672.71x = 367,811.52
  5. Step 5: Solve for x
    x = 367,811.52/672.71
  6. Step 6: Final answer
    x = 546.76

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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.