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Finding the Fourth Proportional to 768.58, 1,152.09 and 306.13

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Solution

The fourth proportional to 768.58, 1,152.09 and 306.13 is: 458.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.58 : 1,152.09 = 306.13 : x
  2. Step 2: Convert to fraction form
    768.58/1,152.09 = 306.13/x
  3. Step 3: Cross multiply
    768.58x = 1,152.09 × 306.13
  4. Step 4: Simplify right side
    768.58x = 352,689.31
  5. Step 5: Solve for x
    x = 352,689.31/768.58
  6. Step 6: Final answer
    x = 458.88

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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.