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Finding the Fourth Proportional to 370.77, 556.31 and 232.06

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Solution

The fourth proportional to 370.77, 556.31 and 232.06 is: 348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.77 : 556.31 = 232.06 : x
  2. Step 2: Convert to fraction form
    370.77/556.31 = 232.06/x
  3. Step 3: Cross multiply
    370.77x = 556.31 × 232.06
  4. Step 4: Simplify right side
    370.77x = 129,097.30
  5. Step 5: Solve for x
    x = 129,097.30/370.77
  6. Step 6: Final answer
    x = 348.19

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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.