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Finding the Fourth Proportional to 416.86, 625.30 and 280.18

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Solution

The fourth proportional to 416.86, 625.30 and 280.18 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 625.30 = 280.18 : x
  2. Step 2: Convert to fraction form
    416.86/625.30 = 280.18/x
  3. Step 3: Cross multiply
    416.86x = 625.30 × 280.18
  4. Step 4: Simplify right side
    416.86x = 175,196.55
  5. Step 5: Solve for x
    x = 175,196.55/416.86
  6. Step 6: Final answer
    x = 420.28

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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.