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Finding the Fourth Proportional to 919.40, 1,378.83 and 302.99

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Solution

The fourth proportional to 919.40, 1,378.83 and 302.99 is: 454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.40 : 1,378.83 = 302.99 : x
  2. Step 2: Convert to fraction form
    919.40/1,378.83 = 302.99/x
  3. Step 3: Cross multiply
    919.40x = 1,378.83 × 302.99
  4. Step 4: Simplify right side
    919.40x = 417,765.94
  5. Step 5: Solve for x
    x = 417,765.94/919.40
  6. Step 6: Final answer
    x = 454.39

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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.