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Finding the Fourth Proportional to 309.80, 465.02 and 232

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Solution

The fourth proportional to 309.80, 465.02 and 232 is: 348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 465.02 = 232 : x
  2. Step 2: Convert to fraction form
    309.80/465.02 = 232/x
  3. Step 3: Cross multiply
    309.80x = 465.02 × 232
  4. Step 4: Simplify right side
    309.80x = 107,884.64
  5. Step 5: Solve for x
    x = 107,884.64/309.80
  6. Step 6: Final answer
    x = 348.24

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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.