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Finding the Fourth Proportional to 493.22, 740.02 and 219.12

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Solution

The fourth proportional to 493.22, 740.02 and 219.12 is: 328.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.22 : 740.02 = 219.12 : x
  2. Step 2: Convert to fraction form
    493.22/740.02 = 219.12/x
  3. Step 3: Cross multiply
    493.22x = 740.02 × 219.12
  4. Step 4: Simplify right side
    493.22x = 162,153.18
  5. Step 5: Solve for x
    x = 162,153.18/493.22
  6. Step 6: Final answer
    x = 328.76

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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.