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Finding the Fourth Proportional to 498.05, 747.18 and 266.87

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Solution

The fourth proportional to 498.05, 747.18 and 266.87 is: 400.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.05 : 747.18 = 266.87 : x
  2. Step 2: Convert to fraction form
    498.05/747.18 = 266.87/x
  3. Step 3: Cross multiply
    498.05x = 747.18 × 266.87
  4. Step 4: Simplify right side
    498.05x = 199,399.93
  5. Step 5: Solve for x
    x = 199,399.93/498.05
  6. Step 6: Final answer
    x = 400.37

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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.