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Finding the Fourth Proportional to 494.72, 682.45 and 354.99

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Solution

The fourth proportional to 494.72, 682.45 and 354.99 is: 489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.72 : 682.45 = 354.99 : x
  2. Step 2: Convert to fraction form
    494.72/682.45 = 354.99/x
  3. Step 3: Cross multiply
    494.72x = 682.45 × 354.99
  4. Step 4: Simplify right side
    494.72x = 242,262.93
  5. Step 5: Solve for x
    x = 242,262.93/494.72
  6. Step 6: Final answer
    x = 489.70

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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.