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Finding the Fourth Proportional to 591.63, 884.97 and 494.16

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Solution

The fourth proportional to 591.63, 884.97 and 494.16 is: 739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 884.97 = 494.16 : x
  2. Step 2: Convert to fraction form
    591.63/884.97 = 494.16/x
  3. Step 3: Cross multiply
    591.63x = 884.97 × 494.16
  4. Step 4: Simplify right side
    591.63x = 437,316.78
  5. Step 5: Solve for x
    x = 437,316.78/591.63
  6. Step 6: Final answer
    x = 739.17

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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.