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Finding the Fourth Proportional to 340.76, 470.10 and 209.72

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Solution

The fourth proportional to 340.76, 470.10 and 209.72 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.76 : 470.10 = 209.72 : x
  2. Step 2: Convert to fraction form
    340.76/470.10 = 209.72/x
  3. Step 3: Cross multiply
    340.76x = 470.10 × 209.72
  4. Step 4: Simplify right side
    340.76x = 98,589.37
  5. Step 5: Solve for x
    x = 98,589.37/340.76
  6. Step 6: Final answer
    x = 289.32

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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.