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Finding the Fourth Proportional to 309.14, 463.74 and 232.26

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Solution

The fourth proportional to 309.14, 463.74 and 232.26 is: 348.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.14 : 463.74 = 232.26 : x
  2. Step 2: Convert to fraction form
    309.14/463.74 = 232.26/x
  3. Step 3: Cross multiply
    309.14x = 463.74 × 232.26
  4. Step 4: Simplify right side
    309.14x = 107,708.25
  5. Step 5: Solve for x
    x = 107,708.25/309.14
  6. Step 6: Final answer
    x = 348.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.