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Finding the Fourth Proportional to 605.34, 835.35 and 339.78

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Solution

The fourth proportional to 605.34, 835.35 and 339.78 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.34 : 835.35 = 339.78 : x
  2. Step 2: Convert to fraction form
    605.34/835.35 = 339.78/x
  3. Step 3: Cross multiply
    605.34x = 835.35 × 339.78
  4. Step 4: Simplify right side
    605.34x = 283,831.05
  5. Step 5: Solve for x
    x = 283,831.05/605.34
  6. Step 6: Final answer
    x = 468.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.