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Finding the Fourth Proportional to 340.91, 470.09 and 313.16

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Solution

The fourth proportional to 340.91, 470.09 and 313.16 is: 431.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.91 : 470.09 = 313.16 : x
  2. Step 2: Convert to fraction form
    340.91/470.09 = 313.16/x
  3. Step 3: Cross multiply
    340.91x = 470.09 × 313.16
  4. Step 4: Simplify right side
    340.91x = 147,211.82
  5. Step 5: Solve for x
    x = 147,211.82/340.91
  6. Step 6: Final answer
    x = 431.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.