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Finding the Fourth Proportional to 520.34, 718.05 and 284.27

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Solution

The fourth proportional to 520.34, 718.05 and 284.27 is: 392.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.34 : 718.05 = 284.27 : x
  2. Step 2: Convert to fraction form
    520.34/718.05 = 284.27/x
  3. Step 3: Cross multiply
    520.34x = 718.05 × 284.27
  4. Step 4: Simplify right side
    520.34x = 204,121.87
  5. Step 5: Solve for x
    x = 204,121.87/520.34
  6. Step 6: Final answer
    x = 392.29

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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.