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Finding the Fourth Proportional to 557.16, 768.82 and 324.24

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Solution

The fourth proportional to 557.16, 768.82 and 324.24 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.16 : 768.82 = 324.24 : x
  2. Step 2: Convert to fraction form
    557.16/768.82 = 324.24/x
  3. Step 3: Cross multiply
    557.16x = 768.82 × 324.24
  4. Step 4: Simplify right side
    557.16x = 249,282.20
  5. Step 5: Solve for x
    x = 249,282.20/557.16
  6. Step 6: Final answer
    x = 447.42

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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.