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Finding the Fourth Proportional to 395.76, 546.12 and 264.54

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Solution

The fourth proportional to 395.76, 546.12 and 264.54 is: 365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.76 : 546.12 = 264.54 : x
  2. Step 2: Convert to fraction form
    395.76/546.12 = 264.54/x
  3. Step 3: Cross multiply
    395.76x = 546.12 × 264.54
  4. Step 4: Simplify right side
    395.76x = 144,470.58
  5. Step 5: Solve for x
    x = 144,470.58/395.76
  6. Step 6: Final answer
    x = 365.05

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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.