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Finding the Fourth Proportional to 767.28, 1,150.82 and 305.40

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Solution

The fourth proportional to 767.28, 1,150.82 and 305.40 is: 458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.28 : 1,150.82 = 305.40 : x
  2. Step 2: Convert to fraction form
    767.28/1,150.82 = 305.40/x
  3. Step 3: Cross multiply
    767.28x = 1,150.82 × 305.40
  4. Step 4: Simplify right side
    767.28x = 351,460.43
  5. Step 5: Solve for x
    x = 351,460.43/767.28
  6. Step 6: Final answer
    x = 458.06

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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.