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Finding the Fourth Proportional to 520.72, 717.01 and 409.85

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Solution

The fourth proportional to 520.72, 717.01 and 409.85 is: 564.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.72 : 717.01 = 409.85 : x
  2. Step 2: Convert to fraction form
    520.72/717.01 = 409.85/x
  3. Step 3: Cross multiply
    520.72x = 717.01 × 409.85
  4. Step 4: Simplify right side
    520.72x = 293,866.55
  5. Step 5: Solve for x
    x = 293,866.55/520.72
  6. Step 6: Final answer
    x = 564.35

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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.