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Finding the Fourth Proportional to 591.42, 887.27 and 266.84

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Solution

The fourth proportional to 591.42, 887.27 and 266.84 is: 400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.42 : 887.27 = 266.84 : x
  2. Step 2: Convert to fraction form
    591.42/887.27 = 266.84/x
  3. Step 3: Cross multiply
    591.42x = 887.27 × 266.84
  4. Step 4: Simplify right side
    591.42x = 236,753.36
  5. Step 5: Solve for x
    x = 236,753.36/591.42
  6. Step 6: Final answer
    x = 400.31

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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.