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Finding the Fourth Proportional to 933.22, 1,399.82 and 446.15

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Solution

The fourth proportional to 933.22, 1,399.82 and 446.15 is: 669.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.22 : 1,399.82 = 446.15 : x
  2. Step 2: Convert to fraction form
    933.22/1,399.82 = 446.15/x
  3. Step 3: Cross multiply
    933.22x = 1,399.82 × 446.15
  4. Step 4: Simplify right side
    933.22x = 624,533.47
  5. Step 5: Solve for x
    x = 624,533.47/933.22
  6. Step 6: Final answer
    x = 669.23

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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.