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Finding the Fourth Proportional to 340.89, 470.35 and 235.81

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Solution

The fourth proportional to 340.89, 470.35 and 235.81 is: 325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.89 : 470.35 = 235.81 : x
  2. Step 2: Convert to fraction form
    340.89/470.35 = 235.81/x
  3. Step 3: Cross multiply
    340.89x = 470.35 × 235.81
  4. Step 4: Simplify right side
    340.89x = 110,912.46
  5. Step 5: Solve for x
    x = 110,912.46/340.89
  6. Step 6: Final answer
    x = 325.36

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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.