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Finding the Fourth Proportional to 692.41, 1,038.75 and 230.14

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Solution

The fourth proportional to 692.41, 1,038.75 and 230.14 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.41 : 1,038.75 = 230.14 : x
  2. Step 2: Convert to fraction form
    692.41/1,038.75 = 230.14/x
  3. Step 3: Cross multiply
    692.41x = 1,038.75 × 230.14
  4. Step 4: Simplify right side
    692.41x = 239,057.93
  5. Step 5: Solve for x
    x = 239,057.93/692.41
  6. Step 6: Final answer
    x = 345.25

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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.