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Finding the Fourth Proportional to 409.53, 612.92 and 278.99

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Solution

The fourth proportional to 409.53, 612.92 and 278.99 is: 417.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 612.92 = 278.99 : x
  2. Step 2: Convert to fraction form
    409.53/612.92 = 278.99/x
  3. Step 3: Cross multiply
    409.53x = 612.92 × 278.99
  4. Step 4: Simplify right side
    409.53x = 170,998.55
  5. Step 5: Solve for x
    x = 170,998.55/409.53
  6. Step 6: Final answer
    x = 417.55

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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.