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Finding the Fourth Proportional to 380.44, 569.40 and 269.04

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Solution

The fourth proportional to 380.44, 569.40 and 269.04 is: 402.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.44 : 569.40 = 269.04 : x
  2. Step 2: Convert to fraction form
    380.44/569.40 = 269.04/x
  3. Step 3: Cross multiply
    380.44x = 569.40 × 269.04
  4. Step 4: Simplify right side
    380.44x = 153,191.57
  5. Step 5: Solve for x
    x = 153,191.57/380.44
  6. Step 6: Final answer
    x = 402.67

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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.