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Finding the Fourth Proportional to 520.26, 718.98 and 426.86

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Solution

The fourth proportional to 520.26, 718.98 and 426.86 is: 589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 718.98 = 426.86 : x
  2. Step 2: Convert to fraction form
    520.26/718.98 = 426.86/x
  3. Step 3: Cross multiply
    520.26x = 718.98 × 426.86
  4. Step 4: Simplify right side
    520.26x = 306,900.21
  5. Step 5: Solve for x
    x = 306,900.21/520.26
  6. Step 6: Final answer
    x = 589.90

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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.