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Finding the Fourth Proportional to 671.24, 1,006.50 and 202.65

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Solution

The fourth proportional to 671.24, 1,006.50 and 202.65 is: 303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.24 : 1,006.50 = 202.65 : x
  2. Step 2: Convert to fraction form
    671.24/1,006.50 = 202.65/x
  3. Step 3: Cross multiply
    671.24x = 1,006.50 × 202.65
  4. Step 4: Simplify right side
    671.24x = 203,963.45
  5. Step 5: Solve for x
    x = 203,963.45/671.24
  6. Step 6: Final answer
    x = 303.86

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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.