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Finding the Fourth Proportional to 340.45, 470.06 and 251.95

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Solution

The fourth proportional to 340.45, 470.06 and 251.95 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.45 : 470.06 = 251.95 : x
  2. Step 2: Convert to fraction form
    340.45/470.06 = 251.95/x
  3. Step 3: Cross multiply
    340.45x = 470.06 × 251.95
  4. Step 4: Simplify right side
    340.45x = 118,431.62
  5. Step 5: Solve for x
    x = 118,431.62/340.45
  6. Step 6: Final answer
    x = 347.87

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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.