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Finding the Fourth Proportional to 409.60, 614.40 and 263.80

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Solution

The fourth proportional to 409.60, 614.40 and 263.80 is: 395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.60 : 614.40 = 263.80 : x
  2. Step 2: Convert to fraction form
    409.60/614.40 = 263.80/x
  3. Step 3: Cross multiply
    409.60x = 614.40 × 263.80
  4. Step 4: Simplify right side
    409.60x = 162,078.72
  5. Step 5: Solve for x
    x = 162,078.72/409.60
  6. Step 6: Final answer
    x = 395.70

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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.