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Finding the Fourth Proportional to 439.56, 658.02 and 285.02

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Solution

The fourth proportional to 439.56, 658.02 and 285.02 is: 426.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.56 : 658.02 = 285.02 : x
  2. Step 2: Convert to fraction form
    439.56/658.02 = 285.02/x
  3. Step 3: Cross multiply
    439.56x = 658.02 × 285.02
  4. Step 4: Simplify right side
    439.56x = 187,548.86
  5. Step 5: Solve for x
    x = 187,548.86/439.56
  6. Step 6: Final answer
    x = 426.67

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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.