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Finding the Fourth Proportional to 766.22, 1,149.46 and 304.00

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Solution

The fourth proportional to 766.22, 1,149.46 and 304.00 is: 456.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.22 : 1,149.46 = 304.00 : x
  2. Step 2: Convert to fraction form
    766.22/1,149.46 = 304.00/x
  3. Step 3: Cross multiply
    766.22x = 1,149.46 × 304.00
  4. Step 4: Simplify right side
    766.22x = 349,432.21
  5. Step 5: Solve for x
    x = 349,432.21/766.22
  6. Step 6: Final answer
    x = 456.05

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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.