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Finding the Fourth Proportional to 828.05, 1,241.85 and 242.91

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Solution

The fourth proportional to 828.05, 1,241.85 and 242.91 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.05 : 1,241.85 = 242.91 : x
  2. Step 2: Convert to fraction form
    828.05/1,241.85 = 242.91/x
  3. Step 3: Cross multiply
    828.05x = 1,241.85 × 242.91
  4. Step 4: Simplify right side
    828.05x = 301,657.78
  5. Step 5: Solve for x
    x = 301,657.78/828.05
  6. Step 6: Final answer
    x = 364.30

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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.