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Finding the Fourth Proportional to 919.02, 1,378.57 and 269.76

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Solution

The fourth proportional to 919.02, 1,378.57 and 269.76 is: 404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.02 : 1,378.57 = 269.76 : x
  2. Step 2: Convert to fraction form
    919.02/1,378.57 = 269.76/x
  3. Step 3: Cross multiply
    919.02x = 1,378.57 × 269.76
  4. Step 4: Simplify right side
    919.02x = 371,883.04
  5. Step 5: Solve for x
    x = 371,883.04/919.02
  6. Step 6: Final answer
    x = 404.65

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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.