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Finding the Fourth Proportional to 494, 741.06 and 492.26

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Solution

The fourth proportional to 494, 741.06 and 492.26 is: 738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    494 : 741.06 = 492.26 : x
  2. Step 2: Convert to fraction form
    494/741.06 = 492.26/x
  3. Step 3: Cross multiply
    494x = 741.06 × 492.26
  4. Step 4: Simplify right side
    494x = 364,794.20
  5. Step 5: Solve for x
    x = 364,794.20/494
  6. Step 6: Final answer
    x = 738.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.