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Finding the Fourth Proportional to 518.24, 715.18 and 285.37

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Solution

The fourth proportional to 518.24, 715.18 and 285.37 is: 393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.24 : 715.18 = 285.37 : x
  2. Step 2: Convert to fraction form
    518.24/715.18 = 285.37/x
  3. Step 3: Cross multiply
    518.24x = 715.18 × 285.37
  4. Step 4: Simplify right side
    518.24x = 204,090.92
  5. Step 5: Solve for x
    x = 204,090.92/518.24
  6. Step 6: Final answer
    x = 393.82

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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.