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Finding the Fourth Proportional to 820.27, 1,230.10 and 351.68

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Solution

The fourth proportional to 820.27, 1,230.10 and 351.68 is: 527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.27 : 1,230.10 = 351.68 : x
  2. Step 2: Convert to fraction form
    820.27/1,230.10 = 351.68/x
  3. Step 3: Cross multiply
    820.27x = 1,230.10 × 351.68
  4. Step 4: Simplify right side
    820.27x = 432,599.81
  5. Step 5: Solve for x
    x = 432,599.81/820.27
  6. Step 6: Final answer
    x = 527.39

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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.