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Finding the Fourth Proportional to 769.28, 1,153.92 and 256.16

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Solution

The fourth proportional to 769.28, 1,153.92 and 256.16 is: 384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.28 : 1,153.92 = 256.16 : x
  2. Step 2: Convert to fraction form
    769.28/1,153.92 = 256.16/x
  3. Step 3: Cross multiply
    769.28x = 1,153.92 × 256.16
  4. Step 4: Simplify right side
    769.28x = 295,588.15
  5. Step 5: Solve for x
    x = 295,588.15/769.28
  6. Step 6: Final answer
    x = 384.24

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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.