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Finding the Fourth Proportional to 769.16, 1,152.92 and 306.32

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Solution

The fourth proportional to 769.16, 1,152.92 and 306.32 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.16 : 1,152.92 = 306.32 : x
  2. Step 2: Convert to fraction form
    769.16/1,152.92 = 306.32/x
  3. Step 3: Cross multiply
    769.16x = 1,152.92 × 306.32
  4. Step 4: Simplify right side
    769.16x = 353,162.45
  5. Step 5: Solve for x
    x = 353,162.45/769.16
  6. Step 6: Final answer
    x = 459.15

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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.