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Finding the Fourth Proportional to 340.58, 509.65 and 218.27

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Solution

The fourth proportional to 340.58, 509.65 and 218.27 is: 326.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.58 : 509.65 = 218.27 : x
  2. Step 2: Convert to fraction form
    340.58/509.65 = 218.27/x
  3. Step 3: Cross multiply
    340.58x = 509.65 × 218.27
  4. Step 4: Simplify right side
    340.58x = 111,241.31
  5. Step 5: Solve for x
    x = 111,241.31/340.58
  6. Step 6: Final answer
    x = 326.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.