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Finding the Fourth Proportional to 617.99, 927.44 and 497.71

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Solution

The fourth proportional to 617.99, 927.44 and 497.71 is: 746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.99 : 927.44 = 497.71 : x
  2. Step 2: Convert to fraction form
    617.99/927.44 = 497.71/x
  3. Step 3: Cross multiply
    617.99x = 927.44 × 497.71
  4. Step 4: Simplify right side
    617.99x = 461,589.04
  5. Step 5: Solve for x
    x = 461,589.04/617.99
  6. Step 6: Final answer
    x = 746.92

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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.