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Finding the Fourth Proportional to 666.87, 999.63 and 342.06

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Solution

The fourth proportional to 666.87, 999.63 and 342.06 is: 512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.87 : 999.63 = 342.06 : x
  2. Step 2: Convert to fraction form
    666.87/999.63 = 342.06/x
  3. Step 3: Cross multiply
    666.87x = 999.63 × 342.06
  4. Step 4: Simplify right side
    666.87x = 341,933.44
  5. Step 5: Solve for x
    x = 341,933.44/666.87
  6. Step 6: Final answer
    x = 512.74

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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.