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Finding the Fourth Proportional to 933.62, 1,400.24 and 284.22

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Solution

The fourth proportional to 933.62, 1,400.24 and 284.22 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.62 : 1,400.24 = 284.22 : x
  2. Step 2: Convert to fraction form
    933.62/1,400.24 = 284.22/x
  3. Step 3: Cross multiply
    933.62x = 1,400.24 × 284.22
  4. Step 4: Simplify right side
    933.62x = 397,976.21
  5. Step 5: Solve for x
    x = 397,976.21/933.62
  6. Step 6: Final answer
    x = 426.27

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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.