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Finding the Fourth Proportional to 366.88, 547.85 and 362.83

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Solution

The fourth proportional to 366.88, 547.85 and 362.83 is: 541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.88 : 547.85 = 362.83 : x
  2. Step 2: Convert to fraction form
    366.88/547.85 = 362.83/x
  3. Step 3: Cross multiply
    366.88x = 547.85 × 362.83
  4. Step 4: Simplify right side
    366.88x = 198,776.42
  5. Step 5: Solve for x
    x = 198,776.42/366.88
  6. Step 6: Final answer
    x = 541.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.