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Finding the Fourth Proportional to 1,230.98, 1,846.42 and 306.52

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Solution

The fourth proportional to 1,230.98, 1,846.42 and 306.52 is: 459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.98 : 1,846.42 = 306.52 : x
  2. Step 2: Convert to fraction form
    1,230.98/1,846.42 = 306.52/x
  3. Step 3: Cross multiply
    1,230.98x = 1,846.42 × 306.52
  4. Step 4: Simplify right side
    1,230.98x = 565,959.28
  5. Step 5: Solve for x
    x = 565,959.28/1,230.98
  6. Step 6: Final answer
    x = 459.76

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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.