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Finding the Fourth Proportional to 933.49, 1,400.23 and 284.41

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Solution

The fourth proportional to 933.49, 1,400.23 and 284.41 is: 426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.49 : 1,400.23 = 284.41 : x
  2. Step 2: Convert to fraction form
    933.49/1,400.23 = 284.41/x
  3. Step 3: Cross multiply
    933.49x = 1,400.23 × 284.41
  4. Step 4: Simplify right side
    933.49x = 398,236.27
  5. Step 5: Solve for x
    x = 398,236.27/933.49
  6. Step 6: Final answer
    x = 426.61

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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.