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Finding the Fourth Proportional to 692.39, 1,038.60 and 230.18

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Solution

The fourth proportional to 692.39, 1,038.60 and 230.18 is: 345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.39 : 1,038.60 = 230.18 : x
  2. Step 2: Convert to fraction form
    692.39/1,038.60 = 230.18/x
  3. Step 3: Cross multiply
    692.39x = 1,038.60 × 230.18
  4. Step 4: Simplify right side
    692.39x = 239,064.95
  5. Step 5: Solve for x
    x = 239,064.95/692.39
  6. Step 6: Final answer
    x = 345.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.