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Finding the Fourth Proportional to 314.28, 470.86 and 253.44

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Solution

The fourth proportional to 314.28, 470.86 and 253.44 is: 379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 470.86 = 253.44 : x
  2. Step 2: Convert to fraction form
    314.28/470.86 = 253.44/x
  3. Step 3: Cross multiply
    314.28x = 470.86 × 253.44
  4. Step 4: Simplify right side
    314.28x = 119,334.76
  5. Step 5: Solve for x
    x = 119,334.76/314.28
  6. Step 6: Final answer
    x = 379.71

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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.