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Finding the Fourth Proportional to 667.60, 1,001.43 and 205.40

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Solution

The fourth proportional to 667.60, 1,001.43 and 205.40 is: 308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.60 : 1,001.43 = 205.40 : x
  2. Step 2: Convert to fraction form
    667.60/1,001.43 = 205.40/x
  3. Step 3: Cross multiply
    667.60x = 1,001.43 × 205.40
  4. Step 4: Simplify right side
    667.60x = 205,696.23
  5. Step 5: Solve for x
    x = 205,696.23/667.60
  6. Step 6: Final answer
    x = 308.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.