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Finding the Fourth Proportional to 492.93, 742.77 and 408.16

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Solution

The fourth proportional to 492.93, 742.77 and 408.16 is: 615.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.93 : 742.77 = 408.16 : x
  2. Step 2: Convert to fraction form
    492.93/742.77 = 408.16/x
  3. Step 3: Cross multiply
    492.93x = 742.77 × 408.16
  4. Step 4: Simplify right side
    492.93x = 303,166.96
  5. Step 5: Solve for x
    x = 303,166.96/492.93
  6. Step 6: Final answer
    x = 615.04

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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.