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Finding the Fourth Proportional to 494.61, 683.06 and 382.98

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Solution

The fourth proportional to 494.61, 683.06 and 382.98 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.61 : 683.06 = 382.98 : x
  2. Step 2: Convert to fraction form
    494.61/683.06 = 382.98/x
  3. Step 3: Cross multiply
    494.61x = 683.06 × 382.98
  4. Step 4: Simplify right side
    494.61x = 261,596.20
  5. Step 5: Solve for x
    x = 261,596.20/494.61
  6. Step 6: Final answer
    x = 528.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.