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Finding the Fourth Proportional to 461.85, 691.91 and 266.94

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Solution

The fourth proportional to 461.85, 691.91 and 266.94 is: 399.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.85 : 691.91 = 266.94 : x
  2. Step 2: Convert to fraction form
    461.85/691.91 = 266.94/x
  3. Step 3: Cross multiply
    461.85x = 691.91 × 266.94
  4. Step 4: Simplify right side
    461.85x = 184,697.12
  5. Step 5: Solve for x
    x = 184,697.12/461.85
  6. Step 6: Final answer
    x = 399.91

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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.