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Finding the Fourth Proportional to 366.97, 543.59 and 362.87

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Solution

The fourth proportional to 366.97, 543.59 and 362.87 is: 537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.97 : 543.59 = 362.87 : x
  2. Step 2: Convert to fraction form
    366.97/543.59 = 362.87/x
  3. Step 3: Cross multiply
    366.97x = 543.59 × 362.87
  4. Step 4: Simplify right side
    366.97x = 197,252.05
  5. Step 5: Solve for x
    x = 197,252.05/366.97
  6. Step 6: Final answer
    x = 537.52

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.