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Finding the Fourth Proportional to 409.50, 565.92 and 365.76

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Solution

The fourth proportional to 409.50, 565.92 and 365.76 is: 505.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.50 : 565.92 = 365.76 : x
  2. Step 2: Convert to fraction form
    409.50/565.92 = 365.76/x
  3. Step 3: Cross multiply
    409.50x = 565.92 × 365.76
  4. Step 4: Simplify right side
    409.50x = 206,990.90
  5. Step 5: Solve for x
    x = 206,990.90/409.50
  6. Step 6: Final answer
    x = 505.47

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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.