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Finding the Fourth Proportional to 398.57, 549.73 and 232.77

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Solution

The fourth proportional to 398.57, 549.73 and 232.77 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 549.73 = 232.77 : x
  2. Step 2: Convert to fraction form
    398.57/549.73 = 232.77/x
  3. Step 3: Cross multiply
    398.57x = 549.73 × 232.77
  4. Step 4: Simplify right side
    398.57x = 127,960.65
  5. Step 5: Solve for x
    x = 127,960.65/398.57
  6. Step 6: Final answer
    x = 321.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.