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Finding the Fourth Proportional to 500.67, 687.25 and 444.17

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Solution

The fourth proportional to 500.67, 687.25 and 444.17 is: 609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.67 : 687.25 = 444.17 : x
  2. Step 2: Convert to fraction form
    500.67/687.25 = 444.17/x
  3. Step 3: Cross multiply
    500.67x = 687.25 × 444.17
  4. Step 4: Simplify right side
    500.67x = 305,256.44
  5. Step 5: Solve for x
    x = 305,256.44/500.67
  6. Step 6: Final answer
    x = 609.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.