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Finding the Fourth Proportional to 666.34, 999.54 and 276.25

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Solution

The fourth proportional to 666.34, 999.54 and 276.25 is: 414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.34 : 999.54 = 276.25 : x
  2. Step 2: Convert to fraction form
    666.34/999.54 = 276.25/x
  3. Step 3: Cross multiply
    666.34x = 999.54 × 276.25
  4. Step 4: Simplify right side
    666.34x = 276,122.93
  5. Step 5: Solve for x
    x = 276,122.93/666.34
  6. Step 6: Final answer
    x = 414.39

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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.