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Finding the Fourth Proportional to 498.02, 746.90 and 223.95

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Solution

The fourth proportional to 498.02, 746.90 and 223.95 is: 335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 746.90 = 223.95 : x
  2. Step 2: Convert to fraction form
    498.02/746.90 = 223.95/x
  3. Step 3: Cross multiply
    498.02x = 746.90 × 223.95
  4. Step 4: Simplify right side
    498.02x = 167,267.14
  5. Step 5: Solve for x
    x = 167,267.14/498.02
  6. Step 6: Final answer
    x = 335.86

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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.