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Finding the Fourth Proportional to 671.14, 1,006.25 and 324.18

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Solution

The fourth proportional to 671.14, 1,006.25 and 324.18 is: 486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.14 : 1,006.25 = 324.18 : x
  2. Step 2: Convert to fraction form
    671.14/1,006.25 = 324.18/x
  3. Step 3: Cross multiply
    671.14x = 1,006.25 × 324.18
  4. Step 4: Simplify right side
    671.14x = 326,202.59
  5. Step 5: Solve for x
    x = 326,202.59/671.14
  6. Step 6: Final answer
    x = 486.05

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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.