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Finding the Fourth Proportional to 692.34, 1,038.57 and 229.98

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Solution

The fourth proportional to 692.34, 1,038.57 and 229.98 is: 344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.34 : 1,038.57 = 229.98 : x
  2. Step 2: Convert to fraction form
    692.34/1,038.57 = 229.98/x
  3. Step 3: Cross multiply
    692.34x = 1,038.57 × 229.98
  4. Step 4: Simplify right side
    692.34x = 238,850.33
  5. Step 5: Solve for x
    x = 238,850.33/692.34
  6. Step 6: Final answer
    x = 344.99

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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.