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Finding the Fourth Proportional to 309.01, 462.85 and 287.65

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Solution

The fourth proportional to 309.01, 462.85 and 287.65 is: 430.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 462.85 = 287.65 : x
  2. Step 2: Convert to fraction form
    309.01/462.85 = 287.65/x
  3. Step 3: Cross multiply
    309.01x = 462.85 × 287.65
  4. Step 4: Simplify right side
    309.01x = 133,138.80
  5. Step 5: Solve for x
    x = 133,138.80/309.01
  6. Step 6: Final answer
    x = 430.86

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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.