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Finding the Fourth Proportional to 442.08, 658.73 and 393.62

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Solution

The fourth proportional to 442.08, 658.73 and 393.62 is: 586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 658.73 = 393.62 : x
  2. Step 2: Convert to fraction form
    442.08/658.73 = 393.62/x
  3. Step 3: Cross multiply
    442.08x = 658.73 × 393.62
  4. Step 4: Simplify right side
    442.08x = 259,286.99
  5. Step 5: Solve for x
    x = 259,286.99/442.08
  6. Step 6: Final answer
    x = 586.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.