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Finding the Fourth Proportional to 591.20, 887.40 and 523.16

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Solution

The fourth proportional to 591.20, 887.40 and 523.16 is: 785.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.20 : 887.40 = 523.16 : x
  2. Step 2: Convert to fraction form
    591.20/887.40 = 523.16/x
  3. Step 3: Cross multiply
    591.20x = 887.40 × 523.16
  4. Step 4: Simplify right side
    591.20x = 464,252.18
  5. Step 5: Solve for x
    x = 464,252.18/591.20
  6. Step 6: Final answer
    x = 785.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.