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Finding the Fourth Proportional to 367, 506.35 and 219.53

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Solution

The fourth proportional to 367, 506.35 and 219.53 is: 302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 506.35 = 219.53 : x
  2. Step 2: Convert to fraction form
    367/506.35 = 219.53/x
  3. Step 3: Cross multiply
    367x = 506.35 × 219.53
  4. Step 4: Simplify right side
    367x = 111,159.02
  5. Step 5: Solve for x
    x = 111,159.02/367
  6. Step 6: Final answer
    x = 302.89

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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.