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Finding the Fourth Proportional to 672.13, 1,007.67 and 306.82

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Solution

The fourth proportional to 672.13, 1,007.67 and 306.82 is: 459.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.13 : 1,007.67 = 306.82 : x
  2. Step 2: Convert to fraction form
    672.13/1,007.67 = 306.82/x
  3. Step 3: Cross multiply
    672.13x = 1,007.67 × 306.82
  4. Step 4: Simplify right side
    672.13x = 309,175.72
  5. Step 5: Solve for x
    x = 309,175.72/672.13
  6. Step 6: Final answer
    x = 459.99

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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.