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Finding the Fourth Proportional to 920.96, 1,381.53 and 296.03

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Solution

The fourth proportional to 920.96, 1,381.53 and 296.03 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.96 : 1,381.53 = 296.03 : x
  2. Step 2: Convert to fraction form
    920.96/1,381.53 = 296.03/x
  3. Step 3: Cross multiply
    920.96x = 1,381.53 × 296.03
  4. Step 4: Simplify right side
    920.96x = 408,972.85
  5. Step 5: Solve for x
    x = 408,972.85/920.96
  6. Step 6: Final answer
    x = 444.07

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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.