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Finding the Fourth Proportional to 366.24, 547.18 and 363

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Solution

The fourth proportional to 366.24, 547.18 and 363 is: 542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.24 : 547.18 = 363 : x
  2. Step 2: Convert to fraction form
    366.24/547.18 = 363/x
  3. Step 3: Cross multiply
    366.24x = 547.18 × 363
  4. Step 4: Simplify right side
    366.24x = 198,626.34
  5. Step 5: Solve for x
    x = 198,626.34/366.24
  6. Step 6: Final answer
    x = 542.34

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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.