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Finding the Fourth Proportional to 495.12, 742.41 and 289.75

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Solution

The fourth proportional to 495.12, 742.41 and 289.75 is: 434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.12 : 742.41 = 289.75 : x
  2. Step 2: Convert to fraction form
    495.12/742.41 = 289.75/x
  3. Step 3: Cross multiply
    495.12x = 742.41 × 289.75
  4. Step 4: Simplify right side
    495.12x = 215,113.30
  5. Step 5: Solve for x
    x = 215,113.30/495.12
  6. Step 6: Final answer
    x = 434.47

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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.