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Finding the Fourth Proportional to 692.08, 1,038.14 and 229.76

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Solution

The fourth proportional to 692.08, 1,038.14 and 229.76 is: 344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.08 : 1,038.14 = 229.76 : x
  2. Step 2: Convert to fraction form
    692.08/1,038.14 = 229.76/x
  3. Step 3: Cross multiply
    692.08x = 1,038.14 × 229.76
  4. Step 4: Simplify right side
    692.08x = 238,523.05
  5. Step 5: Solve for x
    x = 238,523.05/692.08
  6. Step 6: Final answer
    x = 344.65

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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.