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Finding the Fourth Proportional to 395.93, 546.41 and 230.18

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Solution

The fourth proportional to 395.93, 546.41 and 230.18 is: 317.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.93 : 546.41 = 230.18 : x
  2. Step 2: Convert to fraction form
    395.93/546.41 = 230.18/x
  3. Step 3: Cross multiply
    395.93x = 546.41 × 230.18
  4. Step 4: Simplify right side
    395.93x = 125,770.50
  5. Step 5: Solve for x
    x = 125,770.50/395.93
  6. Step 6: Final answer
    x = 317.66

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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.