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Finding the Fourth Proportional to 933.22, 1,399.83 and 348.25

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Solution

The fourth proportional to 933.22, 1,399.83 and 348.25 is: 522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.22 : 1,399.83 = 348.25 : x
  2. Step 2: Convert to fraction form
    933.22/1,399.83 = 348.25/x
  3. Step 3: Cross multiply
    933.22x = 1,399.83 × 348.25
  4. Step 4: Simplify right side
    933.22x = 487,490.58
  5. Step 5: Solve for x
    x = 487,490.58/933.22
  6. Step 6: Final answer
    x = 522.37

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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.