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Finding the Fourth Proportional to 398.48, 549.93 and 241.12

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Solution

The fourth proportional to 398.48, 549.93 and 241.12 is: 332.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.48 : 549.93 = 241.12 : x
  2. Step 2: Convert to fraction form
    398.48/549.93 = 241.12/x
  3. Step 3: Cross multiply
    398.48x = 549.93 × 241.12
  4. Step 4: Simplify right side
    398.48x = 132,599.12
  5. Step 5: Solve for x
    x = 132,599.12/398.48
  6. Step 6: Final answer
    x = 332.76

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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.