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Finding the Fourth Proportional to 520.24, 782.16 and 506.56

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Solution

The fourth proportional to 520.24, 782.16 and 506.56 is: 761.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.24 : 782.16 = 506.56 : x
  2. Step 2: Convert to fraction form
    520.24/782.16 = 506.56/x
  3. Step 3: Cross multiply
    520.24x = 782.16 × 506.56
  4. Step 4: Simplify right side
    520.24x = 396,210.97
  5. Step 5: Solve for x
    x = 396,210.97/520.24
  6. Step 6: Final answer
    x = 761.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.