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Finding the Fourth Proportional to 498.44, 741.45 and 493.18

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Solution

The fourth proportional to 498.44, 741.45 and 493.18 is: 733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.44 : 741.45 = 493.18 : x
  2. Step 2: Convert to fraction form
    498.44/741.45 = 493.18/x
  3. Step 3: Cross multiply
    498.44x = 741.45 × 493.18
  4. Step 4: Simplify right side
    498.44x = 365,668.31
  5. Step 5: Solve for x
    x = 365,668.31/498.44
  6. Step 6: Final answer
    x = 733.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.