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Finding the Fourth Proportional to 672.10, 1,007.24 and 306.59

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Solution

The fourth proportional to 672.10, 1,007.24 and 306.59 is: 459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.10 : 1,007.24 = 306.59 : x
  2. Step 2: Convert to fraction form
    672.10/1,007.24 = 306.59/x
  3. Step 3: Cross multiply
    672.10x = 1,007.24 × 306.59
  4. Step 4: Simplify right side
    672.10x = 308,803.14
  5. Step 5: Solve for x
    x = 308,803.14/672.10
  6. Step 6: Final answer
    x = 459.46

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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.