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Finding the Fourth Proportional to 395.82, 546.35 and 264.96

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Solution

The fourth proportional to 395.82, 546.35 and 264.96 is: 365.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.82 : 546.35 = 264.96 : x
  2. Step 2: Convert to fraction form
    395.82/546.35 = 264.96/x
  3. Step 3: Cross multiply
    395.82x = 546.35 × 264.96
  4. Step 4: Simplify right side
    395.82x = 144,759.57
  5. Step 5: Solve for x
    x = 144,759.57/395.82
  6. Step 6: Final answer
    x = 365.72

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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.