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Finding the Fourth Proportional to 266.92, 397.85 and 259.60

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Solution

The fourth proportional to 266.92, 397.85 and 259.60 is: 386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.92 : 397.85 = 259.60 : x
  2. Step 2: Convert to fraction form
    266.92/397.85 = 259.60/x
  3. Step 3: Cross multiply
    266.92x = 397.85 × 259.60
  4. Step 4: Simplify right side
    266.92x = 103,281.86
  5. Step 5: Solve for x
    x = 103,281.86/266.92
  6. Step 6: Final answer
    x = 386.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.