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Finding the Fourth Proportional to 461.22, 692.04 and 244.75

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Solution

The fourth proportional to 461.22, 692.04 and 244.75 is: 367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 692.04 = 244.75 : x
  2. Step 2: Convert to fraction form
    461.22/692.04 = 244.75/x
  3. Step 3: Cross multiply
    461.22x = 692.04 × 244.75
  4. Step 4: Simplify right side
    461.22x = 169,376.79
  5. Step 5: Solve for x
    x = 169,376.79/461.22
  6. Step 6: Final answer
    x = 367.24

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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.