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Finding the Fourth Proportional to 340.58, 470.02 and 209.56

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Solution

The fourth proportional to 340.58, 470.02 and 209.56 is: 289.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 470.02 = 209.56 : x
  2. Step 2: Convert to fraction form
    340.58/470.02 = 209.56/x
  3. Step 3: Cross multiply
    340.58x = 470.02 × 209.56
  4. Step 4: Simplify right side
    340.58x = 98,497.39
  5. Step 5: Solve for x
    x = 98,497.39/340.58
  6. Step 6: Final answer
    x = 289.20

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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.