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Finding the Fourth Proportional to 438.59, 658.29 and 222.32

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Solution

The fourth proportional to 438.59, 658.29 and 222.32 is: 333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.59 : 658.29 = 222.32 : x
  2. Step 2: Convert to fraction form
    438.59/658.29 = 222.32/x
  3. Step 3: Cross multiply
    438.59x = 658.29 × 222.32
  4. Step 4: Simplify right side
    438.59x = 146,351.03
  5. Step 5: Solve for x
    x = 146,351.03/438.59
  6. Step 6: Final answer
    x = 333.69

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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.