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Finding the Fourth Proportional to 520.23, 717.85 and 287.34

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Solution

The fourth proportional to 520.23, 717.85 and 287.34 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 717.85 = 287.34 : x
  2. Step 2: Convert to fraction form
    520.23/717.85 = 287.34/x
  3. Step 3: Cross multiply
    520.23x = 717.85 × 287.34
  4. Step 4: Simplify right side
    520.23x = 206,262.71
  5. Step 5: Solve for x
    x = 206,262.71/520.23
  6. Step 6: Final answer
    x = 396.49

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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.