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Finding the Fourth Proportional to 499.57, 749.35 and 203.11

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Solution

The fourth proportional to 499.57, 749.35 and 203.11 is: 304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.57 : 749.35 = 203.11 : x
  2. Step 2: Convert to fraction form
    499.57/749.35 = 203.11/x
  3. Step 3: Cross multiply
    499.57x = 749.35 × 203.11
  4. Step 4: Simplify right side
    499.57x = 152,198.86
  5. Step 5: Solve for x
    x = 152,198.86/499.57
  6. Step 6: Final answer
    x = 304.66

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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.