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Finding the Fourth Proportional to 266.60, 399.29 and 262.15

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Solution

The fourth proportional to 266.60, 399.29 and 262.15 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 399.29 = 262.15 : x
  2. Step 2: Convert to fraction form
    266.60/399.29 = 262.15/x
  3. Step 3: Cross multiply
    266.60x = 399.29 × 262.15
  4. Step 4: Simplify right side
    266.60x = 104,673.87
  5. Step 5: Solve for x
    x = 104,673.87/266.60
  6. Step 6: Final answer
    x = 392.63

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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.