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Finding the Fourth Proportional to 518.08, 715.13 and 331.85

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Solution

The fourth proportional to 518.08, 715.13 and 331.85 is: 458.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.08 : 715.13 = 331.85 : x
  2. Step 2: Convert to fraction form
    518.08/715.13 = 331.85/x
  3. Step 3: Cross multiply
    518.08x = 715.13 × 331.85
  4. Step 4: Simplify right side
    518.08x = 237,315.89
  5. Step 5: Solve for x
    x = 237,315.89/518.08
  6. Step 6: Final answer
    x = 458.07

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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.