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Finding the Fourth Proportional to 605.68, 909.22 and 346.66

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Solution

The fourth proportional to 605.68, 909.22 and 346.66 is: 520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.68 : 909.22 = 346.66 : x
  2. Step 2: Convert to fraction form
    605.68/909.22 = 346.66/x
  3. Step 3: Cross multiply
    605.68x = 909.22 × 346.66
  4. Step 4: Simplify right side
    605.68x = 315,190.21
  5. Step 5: Solve for x
    x = 315,190.21/605.68
  6. Step 6: Final answer
    x = 520.39

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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.