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Finding the Fourth Proportional to 313.17, 470.07 and 236.62

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Solution

The fourth proportional to 313.17, 470.07 and 236.62 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.17 : 470.07 = 236.62 : x
  2. Step 2: Convert to fraction form
    313.17/470.07 = 236.62/x
  3. Step 3: Cross multiply
    313.17x = 470.07 × 236.62
  4. Step 4: Simplify right side
    313.17x = 111,228.55
  5. Step 5: Solve for x
    x = 111,228.55/313.17
  6. Step 6: Final answer
    x = 355.17

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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.