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Finding the Fourth Proportional to 692.31, 1,038.34 and 205.24

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Solution

The fourth proportional to 692.31, 1,038.34 and 205.24 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 1,038.34 = 205.24 : x
  2. Step 2: Convert to fraction form
    692.31/1,038.34 = 205.24/x
  3. Step 3: Cross multiply
    692.31x = 1,038.34 × 205.24
  4. Step 4: Simplify right side
    692.31x = 213,108.90
  5. Step 5: Solve for x
    x = 213,108.90/692.31
  6. Step 6: Final answer
    x = 307.82

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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.