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Finding the Fourth Proportional to 805.42, 1,208.14 and 285.41

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Solution

The fourth proportional to 805.42, 1,208.14 and 285.41 is: 428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.42 : 1,208.14 = 285.41 : x
  2. Step 2: Convert to fraction form
    805.42/1,208.14 = 285.41/x
  3. Step 3: Cross multiply
    805.42x = 1,208.14 × 285.41
  4. Step 4: Simplify right side
    805.42x = 344,815.24
  5. Step 5: Solve for x
    x = 344,815.24/805.42
  6. Step 6: Final answer
    x = 428.12

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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.