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Finding the Fourth Proportional to 309.59, 463.77 and 232.64

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Solution

The fourth proportional to 309.59, 463.77 and 232.64 is: 348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.59 : 463.77 = 232.64 : x
  2. Step 2: Convert to fraction form
    309.59/463.77 = 232.64/x
  3. Step 3: Cross multiply
    309.59x = 463.77 × 232.64
  4. Step 4: Simplify right side
    309.59x = 107,890.29
  5. Step 5: Solve for x
    x = 107,890.29/309.59
  6. Step 6: Final answer
    x = 348.50

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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.