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Finding the Fourth Proportional to 408.95, 616.17 and 364.74

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Solution

The fourth proportional to 408.95, 616.17 and 364.74 is: 549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.95 : 616.17 = 364.74 : x
  2. Step 2: Convert to fraction form
    408.95/616.17 = 364.74/x
  3. Step 3: Cross multiply
    408.95x = 616.17 × 364.74
  4. Step 4: Simplify right side
    408.95x = 224,740.90
  5. Step 5: Solve for x
    x = 224,740.90/408.95
  6. Step 6: Final answer
    x = 549.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.