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Finding the Fourth Proportional to 672.67, 1,009.11 and 307.81

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Solution

The fourth proportional to 672.67, 1,009.11 and 307.81 is: 461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.67 : 1,009.11 = 307.81 : x
  2. Step 2: Convert to fraction form
    672.67/1,009.11 = 307.81/x
  3. Step 3: Cross multiply
    672.67x = 1,009.11 × 307.81
  4. Step 4: Simplify right side
    672.67x = 310,614.15
  5. Step 5: Solve for x
    x = 310,614.15/672.67
  6. Step 6: Final answer
    x = 461.76

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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.