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Finding the Fourth Proportional to 497.70, 746.96 and 266.76

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Solution

The fourth proportional to 497.70, 746.96 and 266.76 is: 400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.70 : 746.96 = 266.76 : x
  2. Step 2: Convert to fraction form
    497.70/746.96 = 266.76/x
  3. Step 3: Cross multiply
    497.70x = 746.96 × 266.76
  4. Step 4: Simplify right side
    497.70x = 199,257.72
  5. Step 5: Solve for x
    x = 199,257.72/497.70
  6. Step 6: Final answer
    x = 400.36

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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.