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Finding the Fourth Proportional to 933.90, 1,401.00 and 348.87

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Solution

The fourth proportional to 933.90, 1,401.00 and 348.87 is: 523.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.90 : 1,401.00 = 348.87 : x
  2. Step 2: Convert to fraction form
    933.90/1,401.00 = 348.87/x
  3. Step 3: Cross multiply
    933.90x = 1,401.00 × 348.87
  4. Step 4: Simplify right side
    933.90x = 488,770.82
  5. Step 5: Solve for x
    x = 488,770.82/933.90
  6. Step 6: Final answer
    x = 523.37

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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.