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Finding the Fourth Proportional to 309.04, 461.62 and 231.58

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Solution

The fourth proportional to 309.04, 461.62 and 231.58 is: 345.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.04 : 461.62 = 231.58 : x
  2. Step 2: Convert to fraction form
    309.04/461.62 = 231.58/x
  3. Step 3: Cross multiply
    309.04x = 461.62 × 231.58
  4. Step 4: Simplify right side
    309.04x = 106,901.96
  5. Step 5: Solve for x
    x = 106,901.96/309.04
  6. Step 6: Final answer
    x = 345.92

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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.