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Finding the Fourth Proportional to 395.98, 546.28 and 265.03

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Solution

The fourth proportional to 395.98, 546.28 and 265.03 is: 365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.98 : 546.28 = 265.03 : x
  2. Step 2: Convert to fraction form
    395.98/546.28 = 265.03/x
  3. Step 3: Cross multiply
    395.98x = 546.28 × 265.03
  4. Step 4: Simplify right side
    395.98x = 144,780.59
  5. Step 5: Solve for x
    x = 144,780.59/395.98
  6. Step 6: Final answer
    x = 365.63

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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.