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Finding the Fourth Proportional to 309.57, 463.33 and 285

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Solution

The fourth proportional to 309.57, 463.33 and 285 is: 426.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.57 : 463.33 = 285 : x
  2. Step 2: Convert to fraction form
    309.57/463.33 = 285/x
  3. Step 3: Cross multiply
    309.57x = 463.33 × 285
  4. Step 4: Simplify right side
    309.57x = 132,049.05
  5. Step 5: Solve for x
    x = 132,049.05/309.57
  6. Step 6: Final answer
    x = 426.56

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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.