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Finding the Fourth Proportional to 313.71, 470.19 and 236.42

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Solution

The fourth proportional to 313.71, 470.19 and 236.42 is: 354.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.71 : 470.19 = 236.42 : x
  2. Step 2: Convert to fraction form
    313.71/470.19 = 236.42/x
  3. Step 3: Cross multiply
    313.71x = 470.19 × 236.42
  4. Step 4: Simplify right side
    313.71x = 111,162.29
  5. Step 5: Solve for x
    x = 111,162.29/313.71
  6. Step 6: Final answer
    x = 354.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.