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Finding the Fourth Proportional to 340.59, 470.83 and 310.22

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Solution

The fourth proportional to 340.59, 470.83 and 310.22 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.59 : 470.83 = 310.22 : x
  2. Step 2: Convert to fraction form
    340.59/470.83 = 310.22/x
  3. Step 3: Cross multiply
    340.59x = 470.83 × 310.22
  4. Step 4: Simplify right side
    340.59x = 146,060.88
  5. Step 5: Solve for x
    x = 146,060.88/340.59
  6. Step 6: Final answer
    x = 428.85

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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.