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Finding the Fourth Proportional to 309.83, 462.23 and 286.59

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Solution

The fourth proportional to 309.83, 462.23 and 286.59 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.83 : 462.23 = 286.59 : x
  2. Step 2: Convert to fraction form
    309.83/462.23 = 286.59/x
  3. Step 3: Cross multiply
    309.83x = 462.23 × 286.59
  4. Step 4: Simplify right side
    309.83x = 132,470.08
  5. Step 5: Solve for x
    x = 132,470.08/309.83
  6. Step 6: Final answer
    x = 427.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.