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Finding the Fourth Proportional to 494.77, 742.29 and 289.52

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Solution

The fourth proportional to 494.77, 742.29 and 289.52 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.77 : 742.29 = 289.52 : x
  2. Step 2: Convert to fraction form
    494.77/742.29 = 289.52/x
  3. Step 3: Cross multiply
    494.77x = 742.29 × 289.52
  4. Step 4: Simplify right side
    494.77x = 214,907.80
  5. Step 5: Solve for x
    x = 214,907.80/494.77
  6. Step 6: Final answer
    x = 434.36

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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.