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Finding the Fourth Proportional to 368.24, 506.82 and 323.13

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Solution

The fourth proportional to 368.24, 506.82 and 323.13 is: 444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.24 : 506.82 = 323.13 : x
  2. Step 2: Convert to fraction form
    368.24/506.82 = 323.13/x
  3. Step 3: Cross multiply
    368.24x = 506.82 × 323.13
  4. Step 4: Simplify right side
    368.24x = 163,768.75
  5. Step 5: Solve for x
    x = 163,768.75/368.24
  6. Step 6: Final answer
    x = 444.73

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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.