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Finding the Fourth Proportional to 549.50, 824.34 and 241.39

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Solution

The fourth proportional to 549.50, 824.34 and 241.39 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.50 : 824.34 = 241.39 : x
  2. Step 2: Convert to fraction form
    549.50/824.34 = 241.39/x
  3. Step 3: Cross multiply
    549.50x = 824.34 × 241.39
  4. Step 4: Simplify right side
    549.50x = 198,989.37
  5. Step 5: Solve for x
    x = 198,989.37/549.50
  6. Step 6: Final answer
    x = 362.13

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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.