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Finding the Fourth Proportional to 538.77, 809.37 and 465.87

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Solution

The fourth proportional to 538.77, 809.37 and 465.87 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.77 : 809.37 = 465.87 : x
  2. Step 2: Convert to fraction form
    538.77/809.37 = 465.87/x
  3. Step 3: Cross multiply
    538.77x = 809.37 × 465.87
  4. Step 4: Simplify right side
    538.77x = 377,061.20
  5. Step 5: Solve for x
    x = 377,061.20/538.77
  6. Step 6: Final answer
    x = 699.86

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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.