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Finding the Fourth Proportional to 692.42, 1,038.34 and 223.78

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Solution

The fourth proportional to 692.42, 1,038.34 and 223.78 is: 335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.42 : 1,038.34 = 223.78 : x
  2. Step 2: Convert to fraction form
    692.42/1,038.34 = 223.78/x
  3. Step 3: Cross multiply
    692.42x = 1,038.34 × 223.78
  4. Step 4: Simplify right side
    692.42x = 232,359.73
  5. Step 5: Solve for x
    x = 232,359.73/692.42
  6. Step 6: Final answer
    x = 335.58

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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.