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Finding the Fourth Proportional to 920.94, 1,380.56 and 335.69

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Solution

The fourth proportional to 920.94, 1,380.56 and 335.69 is: 503.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.94 : 1,380.56 = 335.69 : x
  2. Step 2: Convert to fraction form
    920.94/1,380.56 = 335.69/x
  3. Step 3: Cross multiply
    920.94x = 1,380.56 × 335.69
  4. Step 4: Simplify right side
    920.94x = 463,431.61
  5. Step 5: Solve for x
    x = 463,431.61/920.94
  6. Step 6: Final answer
    x = 503.22

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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.