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Finding the Fourth Proportional to 769.10, 1,153.40 and 306.76

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Solution

The fourth proportional to 769.10, 1,153.40 and 306.76 is: 460.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.10 : 1,153.40 = 306.76 : x
  2. Step 2: Convert to fraction form
    769.10/1,153.40 = 306.76/x
  3. Step 3: Cross multiply
    769.10x = 1,153.40 × 306.76
  4. Step 4: Simplify right side
    769.10x = 353,814.87
  5. Step 5: Solve for x
    x = 353,814.87/769.10
  6. Step 6: Final answer
    x = 460.04

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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.