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Finding the Fourth Proportional to 520.07, 717.67 and 298.87

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Solution

The fourth proportional to 520.07, 717.67 and 298.87 is: 412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.07 : 717.67 = 298.87 : x
  2. Step 2: Convert to fraction form
    520.07/717.67 = 298.87/x
  3. Step 3: Cross multiply
    520.07x = 717.67 × 298.87
  4. Step 4: Simplify right side
    520.07x = 214,490.03
  5. Step 5: Solve for x
    x = 214,490.03/520.07
  6. Step 6: Final answer
    x = 412.43

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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.