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Finding the Fourth Proportional to 322.78, 483.24 and 241.98

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Solution

The fourth proportional to 322.78, 483.24 and 241.98 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 483.24 = 241.98 : x
  2. Step 2: Convert to fraction form
    322.78/483.24 = 241.98/x
  3. Step 3: Cross multiply
    322.78x = 483.24 × 241.98
  4. Step 4: Simplify right side
    322.78x = 116,934.42
  5. Step 5: Solve for x
    x = 116,934.42/322.78
  6. Step 6: Final answer
    x = 362.28

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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.