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Finding the Fourth Proportional to 499.74, 687.51 and 473.82

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Solution

The fourth proportional to 499.74, 687.51 and 473.82 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.74 : 687.51 = 473.82 : x
  2. Step 2: Convert to fraction form
    499.74/687.51 = 473.82/x
  3. Step 3: Cross multiply
    499.74x = 687.51 × 473.82
  4. Step 4: Simplify right side
    499.74x = 325,755.99
  5. Step 5: Solve for x
    x = 325,755.99/499.74
  6. Step 6: Final answer
    x = 651.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.