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Finding the Fourth Proportional to 363.69, 546.81 and 334.89

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Solution

The fourth proportional to 363.69, 546.81 and 334.89 is: 503.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.69 : 546.81 = 334.89 : x
  2. Step 2: Convert to fraction form
    363.69/546.81 = 334.89/x
  3. Step 3: Cross multiply
    363.69x = 546.81 × 334.89
  4. Step 4: Simplify right side
    363.69x = 183,121.20
  5. Step 5: Solve for x
    x = 183,121.20/363.69
  6. Step 6: Final answer
    x = 503.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.