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Finding the Fourth Proportional to 438.52, 657.99 and 222.10

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Solution

The fourth proportional to 438.52, 657.99 and 222.10 is: 333.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.52 : 657.99 = 222.10 : x
  2. Step 2: Convert to fraction form
    438.52/657.99 = 222.10/x
  3. Step 3: Cross multiply
    438.52x = 657.99 × 222.10
  4. Step 4: Simplify right side
    438.52x = 146,139.58
  5. Step 5: Solve for x
    x = 146,139.58/438.52
  6. Step 6: Final answer
    x = 333.26

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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.