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Finding the Fourth Proportional to 539.87, 807.64 and 447.59

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Solution

The fourth proportional to 539.87, 807.64 and 447.59 is: 669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.87 : 807.64 = 447.59 : x
  2. Step 2: Convert to fraction form
    539.87/807.64 = 447.59/x
  3. Step 3: Cross multiply
    539.87x = 807.64 × 447.59
  4. Step 4: Simplify right side
    539.87x = 361,492.49
  5. Step 5: Solve for x
    x = 361,492.49/539.87
  6. Step 6: Final answer
    x = 669.60

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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.