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Finding the Fourth Proportional to 537.11, 804.14 and 420.47

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Solution

The fourth proportional to 537.11, 804.14 and 420.47 is: 629.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.11 : 804.14 = 420.47 : x
  2. Step 2: Convert to fraction form
    537.11/804.14 = 420.47/x
  3. Step 3: Cross multiply
    537.11x = 804.14 × 420.47
  4. Step 4: Simplify right side
    537.11x = 338,116.75
  5. Step 5: Solve for x
    x = 338,116.75/537.11
  6. Step 6: Final answer
    x = 629.51

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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.