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Finding the Fourth Proportional to 1,230.74, 1,846.15 and 306.26

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Solution

The fourth proportional to 1,230.74, 1,846.15 and 306.26 is: 459.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.74 : 1,846.15 = 306.26 : x
  2. Step 2: Convert to fraction form
    1,230.74/1,846.15 = 306.26/x
  3. Step 3: Cross multiply
    1,230.74x = 1,846.15 × 306.26
  4. Step 4: Simplify right side
    1,230.74x = 565,405.75
  5. Step 5: Solve for x
    x = 565,405.75/1,230.74
  6. Step 6: Final answer
    x = 459.40

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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.