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Finding the Fourth Proportional to 395.62, 546.14 and 264.71

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Solution

The fourth proportional to 395.62, 546.14 and 264.71 is: 365.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.62 : 546.14 = 264.71 : x
  2. Step 2: Convert to fraction form
    395.62/546.14 = 264.71/x
  3. Step 3: Cross multiply
    395.62x = 546.14 × 264.71
  4. Step 4: Simplify right side
    395.62x = 144,568.72
  5. Step 5: Solve for x
    x = 144,568.72/395.62
  6. Step 6: Final answer
    x = 365.42

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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.