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Finding the Fourth Proportional to 344.14, 515.84 and 314.06

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Solution

The fourth proportional to 344.14, 515.84 and 314.06 is: 470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.14 : 515.84 = 314.06 : x
  2. Step 2: Convert to fraction form
    344.14/515.84 = 314.06/x
  3. Step 3: Cross multiply
    344.14x = 515.84 × 314.06
  4. Step 4: Simplify right side
    344.14x = 162,004.71
  5. Step 5: Solve for x
    x = 162,004.71/344.14
  6. Step 6: Final answer
    x = 470.75

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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.