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Finding the Fourth Proportional to 920.10, 1,380.18 and 303.84

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Solution

The fourth proportional to 920.10, 1,380.18 and 303.84 is: 455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.10 : 1,380.18 = 303.84 : x
  2. Step 2: Convert to fraction form
    920.10/1,380.18 = 303.84/x
  3. Step 3: Cross multiply
    920.10x = 1,380.18 × 303.84
  4. Step 4: Simplify right side
    920.10x = 419,353.89
  5. Step 5: Solve for x
    x = 419,353.89/920.10
  6. Step 6: Final answer
    x = 455.77

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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.