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Finding the Fourth Proportional to 495.26, 742.66 and 289.89

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Solution

The fourth proportional to 495.26, 742.66 and 289.89 is: 434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.26 : 742.66 = 289.89 : x
  2. Step 2: Convert to fraction form
    495.26/742.66 = 289.89/x
  3. Step 3: Cross multiply
    495.26x = 742.66 × 289.89
  4. Step 4: Simplify right side
    495.26x = 215,288.98
  5. Step 5: Solve for x
    x = 215,288.98/495.26
  6. Step 6: Final answer
    x = 434.70

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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.