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Finding the Fourth Proportional to 498.01, 746.78 and 266.86

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Solution

The fourth proportional to 498.01, 746.78 and 266.86 is: 400.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.01 : 746.78 = 266.86 : x
  2. Step 2: Convert to fraction form
    498.01/746.78 = 266.86/x
  3. Step 3: Cross multiply
    498.01x = 746.78 × 266.86
  4. Step 4: Simplify right side
    498.01x = 199,281.98
  5. Step 5: Solve for x
    x = 199,281.98/498.01
  6. Step 6: Final answer
    x = 400.16

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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.