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Finding the Fourth Proportional to 520.44, 717.38 and 409.77

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Solution

The fourth proportional to 520.44, 717.38 and 409.77 is: 564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.44 : 717.38 = 409.77 : x
  2. Step 2: Convert to fraction form
    520.44/717.38 = 409.77/x
  3. Step 3: Cross multiply
    520.44x = 717.38 × 409.77
  4. Step 4: Simplify right side
    520.44x = 293,955.17
  5. Step 5: Solve for x
    x = 293,955.17/520.44
  6. Step 6: Final answer
    x = 564.83

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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.