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Finding the Fourth Proportional to 498.07, 746.83 and 266.41

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Solution

The fourth proportional to 498.07, 746.83 and 266.41 is: 399.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.07 : 746.83 = 266.41 : x
  2. Step 2: Convert to fraction form
    498.07/746.83 = 266.41/x
  3. Step 3: Cross multiply
    498.07x = 746.83 × 266.41
  4. Step 4: Simplify right side
    498.07x = 198,962.98
  5. Step 5: Solve for x
    x = 198,962.98/498.07
  6. Step 6: Final answer
    x = 399.47

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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.