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Finding the Fourth Proportional to 314.35, 470.81 and 252.82

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Solution

The fourth proportional to 314.35, 470.81 and 252.82 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.35 : 470.81 = 252.82 : x
  2. Step 2: Convert to fraction form
    314.35/470.81 = 252.82/x
  3. Step 3: Cross multiply
    314.35x = 470.81 × 252.82
  4. Step 4: Simplify right side
    314.35x = 119,031.40
  5. Step 5: Solve for x
    x = 119,031.40/314.35
  6. Step 6: Final answer
    x = 378.66

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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.