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Finding the Fourth Proportional to 666.60, 1,000.20 and 342.19

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Solution

The fourth proportional to 666.60, 1,000.20 and 342.19 is: 513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.60 : 1,000.20 = 342.19 : x
  2. Step 2: Convert to fraction form
    666.60/1,000.20 = 342.19/x
  3. Step 3: Cross multiply
    666.60x = 1,000.20 × 342.19
  4. Step 4: Simplify right side
    666.60x = 342,258.44
  5. Step 5: Solve for x
    x = 342,258.44/666.60
  6. Step 6: Final answer
    x = 513.44

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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.