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Finding the Fourth Proportional to 633.61, 950.42 and 222.74

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Solution

The fourth proportional to 633.61, 950.42 and 222.74 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.61 : 950.42 = 222.74 : x
  2. Step 2: Convert to fraction form
    633.61/950.42 = 222.74/x
  3. Step 3: Cross multiply
    633.61x = 950.42 × 222.74
  4. Step 4: Simplify right side
    633.61x = 211,697.81
  5. Step 5: Solve for x
    x = 211,697.81/633.61
  6. Step 6: Final answer
    x = 334.12

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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.