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Finding the Fourth Proportional to 805.18, 1,208 and 394.55

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Solution

The fourth proportional to 805.18, 1,208 and 394.55 is: 591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.18 : 1,208 = 394.55 : x
  2. Step 2: Convert to fraction form
    805.18/1,208 = 394.55/x
  3. Step 3: Cross multiply
    805.18x = 1,208 × 394.55
  4. Step 4: Simplify right side
    805.18x = 476,616.40
  5. Step 5: Solve for x
    x = 476,616.40/805.18
  6. Step 6: Final answer
    x = 591.94

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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.