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Finding the Fourth Proportional to 494.90, 742.48 and 289.64

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Solution

The fourth proportional to 494.90, 742.48 and 289.64 is: 434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.90 : 742.48 = 289.64 : x
  2. Step 2: Convert to fraction form
    494.90/742.48 = 289.64/x
  3. Step 3: Cross multiply
    494.90x = 742.48 × 289.64
  4. Step 4: Simplify right side
    494.90x = 215,053.04
  5. Step 5: Solve for x
    x = 215,053.04/494.90
  6. Step 6: Final answer
    x = 434.54

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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.