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Finding the Fourth Proportional to 529.82, 731.07 and 308.78

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Solution

The fourth proportional to 529.82, 731.07 and 308.78 is: 426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 731.07 = 308.78 : x
  2. Step 2: Convert to fraction form
    529.82/731.07 = 308.78/x
  3. Step 3: Cross multiply
    529.82x = 731.07 × 308.78
  4. Step 4: Simplify right side
    529.82x = 225,739.79
  5. Step 5: Solve for x
    x = 225,739.79/529.82
  6. Step 6: Final answer
    x = 426.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.