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Finding the Fourth Proportional to 395.84, 546.38 and 230.13

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Solution

The fourth proportional to 395.84, 546.38 and 230.13 is: 317.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.84 : 546.38 = 230.13 : x
  2. Step 2: Convert to fraction form
    395.84/546.38 = 230.13/x
  3. Step 3: Cross multiply
    395.84x = 546.38 × 230.13
  4. Step 4: Simplify right side
    395.84x = 125,737.28
  5. Step 5: Solve for x
    x = 125,737.28/395.84
  6. Step 6: Final answer
    x = 317.65

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Why These Related Problems?

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