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Finding the Fourth Proportional to 667.74, 1,002.13 and 297.41

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Solution

The fourth proportional to 667.74, 1,002.13 and 297.41 is: 446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.74 : 1,002.13 = 297.41 : x
  2. Step 2: Convert to fraction form
    667.74/1,002.13 = 297.41/x
  3. Step 3: Cross multiply
    667.74x = 1,002.13 × 297.41
  4. Step 4: Simplify right side
    667.74x = 298,042.17
  5. Step 5: Solve for x
    x = 298,042.17/667.74
  6. Step 6: Final answer
    x = 446.35

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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.