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Finding the Fourth Proportional to 309.67, 464.10 and 232.02

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Solution

The fourth proportional to 309.67, 464.10 and 232.02 is: 347.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.67 : 464.10 = 232.02 : x
  2. Step 2: Convert to fraction form
    309.67/464.10 = 232.02/x
  3. Step 3: Cross multiply
    309.67x = 464.10 × 232.02
  4. Step 4: Simplify right side
    309.67x = 107,680.48
  5. Step 5: Solve for x
    x = 107,680.48/309.67
  6. Step 6: Final answer
    x = 347.73

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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.