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Finding the Fourth Proportional to 309.87, 461.61 and 308.66

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Solution

The fourth proportional to 309.87, 461.61 and 308.66 is: 459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.87 : 461.61 = 308.66 : x
  2. Step 2: Convert to fraction form
    309.87/461.61 = 308.66/x
  3. Step 3: Cross multiply
    309.87x = 461.61 × 308.66
  4. Step 4: Simplify right side
    309.87x = 142,478.23
  5. Step 5: Solve for x
    x = 142,478.23/309.87
  6. Step 6: Final answer
    x = 459.80

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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.