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Finding the Fourth Proportional to 633.96, 951.14 and 269.06

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Solution

The fourth proportional to 633.96, 951.14 and 269.06 is: 403.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.96 : 951.14 = 269.06 : x
  2. Step 2: Convert to fraction form
    633.96/951.14 = 269.06/x
  3. Step 3: Cross multiply
    633.96x = 951.14 × 269.06
  4. Step 4: Simplify right side
    633.96x = 255,909.65
  5. Step 5: Solve for x
    x = 255,909.65/633.96
  6. Step 6: Final answer
    x = 403.67

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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.