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Finding the Fourth Proportional to 340.50, 470.01 and 229.75

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Solution

The fourth proportional to 340.50, 470.01 and 229.75 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.50 : 470.01 = 229.75 : x
  2. Step 2: Convert to fraction form
    340.50/470.01 = 229.75/x
  3. Step 3: Cross multiply
    340.50x = 470.01 × 229.75
  4. Step 4: Simplify right side
    340.50x = 107,984.80
  5. Step 5: Solve for x
    x = 107,984.80/340.50
  6. Step 6: Final answer
    x = 317.14

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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.