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Finding the Fourth Proportional to 494.12, 741.24 and 462.12

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Solution

The fourth proportional to 494.12, 741.24 and 462.12 is: 693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.12 : 741.24 = 462.12 : x
  2. Step 2: Convert to fraction form
    494.12/741.24 = 462.12/x
  3. Step 3: Cross multiply
    494.12x = 741.24 × 462.12
  4. Step 4: Simplify right side
    494.12x = 342,541.83
  5. Step 5: Solve for x
    x = 342,541.83/494.12
  6. Step 6: Final answer
    x = 693.24

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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.