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Finding the Fourth Proportional to 671.62, 1,006.95 and 255.10

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Solution

The fourth proportional to 671.62, 1,006.95 and 255.10 is: 382.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.62 : 1,006.95 = 255.10 : x
  2. Step 2: Convert to fraction form
    671.62/1,006.95 = 255.10/x
  3. Step 3: Cross multiply
    671.62x = 1,006.95 × 255.10
  4. Step 4: Simplify right side
    671.62x = 256,870.43
  5. Step 5: Solve for x
    x = 256,870.43/671.62
  6. Step 6: Final answer
    x = 382.47

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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.