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Finding the Fourth Proportional to 314.16, 470.16 and 217.56

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Solution

The fourth proportional to 314.16, 470.16 and 217.56 is: 325.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.16 : 470.16 = 217.56 : x
  2. Step 2: Convert to fraction form
    314.16/470.16 = 217.56/x
  3. Step 3: Cross multiply
    314.16x = 470.16 × 217.56
  4. Step 4: Simplify right side
    314.16x = 102,288.01
  5. Step 5: Solve for x
    x = 102,288.01/314.16
  6. Step 6: Final answer
    x = 325.59

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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.