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Finding the Fourth Proportional to 539.26, 809.15 and 466.58

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Solution

The fourth proportional to 539.26, 809.15 and 466.58 is: 700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.26 : 809.15 = 466.58 : x
  2. Step 2: Convert to fraction form
    539.26/809.15 = 466.58/x
  3. Step 3: Cross multiply
    539.26x = 809.15 × 466.58
  4. Step 4: Simplify right side
    539.26x = 377,532.90
  5. Step 5: Solve for x
    x = 377,532.90/539.26
  6. Step 6: Final answer
    x = 700.10

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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.