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Finding the Fourth Proportional to 395.93, 546.48 and 230.19

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Solution

The fourth proportional to 395.93, 546.48 and 230.19 is: 317.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.48 = 230.19 : x
  2. Step 2: Convert to fraction form
    395.93/546.48 = 230.19/x
  3. Step 3: Cross multiply
    395.93x = 546.48 × 230.19
  4. Step 4: Simplify right side
    395.93x = 125,794.23
  5. Step 5: Solve for x
    x = 125,794.23/395.93
  6. Step 6: Final answer
    x = 317.72

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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.