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Finding the Fourth Proportional to 354.79, 532.22 and 216.08

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Solution

The fourth proportional to 354.79, 532.22 and 216.08 is: 324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.79 : 532.22 = 216.08 : x
  2. Step 2: Convert to fraction form
    354.79/532.22 = 216.08/x
  3. Step 3: Cross multiply
    354.79x = 532.22 × 216.08
  4. Step 4: Simplify right side
    354.79x = 115,002.10
  5. Step 5: Solve for x
    x = 115,002.10/354.79
  6. Step 6: Final answer
    x = 324.14

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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.