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Finding the Fourth Proportional to 354.58, 531.14 and 217.19

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Solution

The fourth proportional to 354.58, 531.14 and 217.19 is: 325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.58 : 531.14 = 217.19 : x
  2. Step 2: Convert to fraction form
    354.58/531.14 = 217.19/x
  3. Step 3: Cross multiply
    354.58x = 531.14 × 217.19
  4. Step 4: Simplify right side
    354.58x = 115,358.30
  5. Step 5: Solve for x
    x = 115,358.30/354.58
  6. Step 6: Final answer
    x = 325.34

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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.