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Finding the Fourth Proportional to 312.90, 469.11 and 270.07

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Solution

The fourth proportional to 312.90, 469.11 and 270.07 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.90 : 469.11 = 270.07 : x
  2. Step 2: Convert to fraction form
    312.90/469.11 = 270.07/x
  3. Step 3: Cross multiply
    312.90x = 469.11 × 270.07
  4. Step 4: Simplify right side
    312.90x = 126,692.54
  5. Step 5: Solve for x
    x = 126,692.54/312.90
  6. Step 6: Final answer
    x = 404.90

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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.