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Finding the Fourth Proportional to 591.13, 886.69 and 266.27

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Solution

The fourth proportional to 591.13, 886.69 and 266.27 is: 399.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 886.69 = 266.27 : x
  2. Step 2: Convert to fraction form
    591.13/886.69 = 266.27/x
  3. Step 3: Cross multiply
    591.13x = 886.69 × 266.27
  4. Step 4: Simplify right side
    591.13x = 236,098.95
  5. Step 5: Solve for x
    x = 236,098.95/591.13
  6. Step 6: Final answer
    x = 399.40

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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.