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Finding the Fourth Proportional to 409.89, 565.78 and 277.30

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Solution

The fourth proportional to 409.89, 565.78 and 277.30 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.89 : 565.78 = 277.30 : x
  2. Step 2: Convert to fraction form
    409.89/565.78 = 277.30/x
  3. Step 3: Cross multiply
    409.89x = 565.78 × 277.30
  4. Step 4: Simplify right side
    409.89x = 156,890.79
  5. Step 5: Solve for x
    x = 156,890.79/409.89
  6. Step 6: Final answer
    x = 382.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.