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Finding the Fourth Proportional to 591.52, 888.24 and 364.96

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Solution

The fourth proportional to 591.52, 888.24 and 364.96 is: 548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.52 : 888.24 = 364.96 : x
  2. Step 2: Convert to fraction form
    591.52/888.24 = 364.96/x
  3. Step 3: Cross multiply
    591.52x = 888.24 × 364.96
  4. Step 4: Simplify right side
    591.52x = 324,172.07
  5. Step 5: Solve for x
    x = 324,172.07/591.52
  6. Step 6: Final answer
    x = 548.03

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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.