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Finding the Fourth Proportional to 518.99, 716.34 and 361.65

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Solution

The fourth proportional to 518.99, 716.34 and 361.65 is: 499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.99 : 716.34 = 361.65 : x
  2. Step 2: Convert to fraction form
    518.99/716.34 = 361.65/x
  3. Step 3: Cross multiply
    518.99x = 716.34 × 361.65
  4. Step 4: Simplify right side
    518.99x = 259,064.36
  5. Step 5: Solve for x
    x = 259,064.36/518.99
  6. Step 6: Final answer
    x = 499.18

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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.