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Finding the Fourth Proportional to 889.23, 1,333.36 and 361.67

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Solution

The fourth proportional to 889.23, 1,333.36 and 361.67 is: 542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.23 : 1,333.36 = 361.67 : x
  2. Step 2: Convert to fraction form
    889.23/1,333.36 = 361.67/x
  3. Step 3: Cross multiply
    889.23x = 1,333.36 × 361.67
  4. Step 4: Simplify right side
    889.23x = 482,230.10
  5. Step 5: Solve for x
    x = 482,230.10/889.23
  6. Step 6: Final answer
    x = 542.30

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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.