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Finding the Fourth Proportional to 919.76, 1,379.36 and 303.32

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Solution

The fourth proportional to 919.76, 1,379.36 and 303.32 is: 454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.76 : 1,379.36 = 303.32 : x
  2. Step 2: Convert to fraction form
    919.76/1,379.36 = 303.32/x
  3. Step 3: Cross multiply
    919.76x = 1,379.36 × 303.32
  4. Step 4: Simplify right side
    919.76x = 418,379.06
  5. Step 5: Solve for x
    x = 418,379.06/919.76
  6. Step 6: Final answer
    x = 454.88

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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.