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Finding the Fourth Proportional to 633.34, 950.02 and 171.13

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Solution

The fourth proportional to 633.34, 950.02 and 171.13 is: 256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.34 : 950.02 = 171.13 : x
  2. Step 2: Convert to fraction form
    633.34/950.02 = 171.13/x
  3. Step 3: Cross multiply
    633.34x = 950.02 × 171.13
  4. Step 4: Simplify right side
    633.34x = 162,571.65
  5. Step 5: Solve for x
    x = 162,571.65/633.34
  6. Step 6: Final answer
    x = 256.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.