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Finding the Fourth Proportional to 395.97, 546.47 and 297.55

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Solution

The fourth proportional to 395.97, 546.47 and 297.55 is: 410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.97 : 546.47 = 297.55 : x
  2. Step 2: Convert to fraction form
    395.97/546.47 = 297.55/x
  3. Step 3: Cross multiply
    395.97x = 546.47 × 297.55
  4. Step 4: Simplify right side
    395.97x = 162,600.66
  5. Step 5: Solve for x
    x = 162,600.66/395.97
  6. Step 6: Final answer
    x = 410.64

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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.