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Finding the Fourth Proportional to 624.11, 862.11 and 437.47

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Solution

The fourth proportional to 624.11, 862.11 and 437.47 is: 604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.11 : 862.11 = 437.47 : x
  2. Step 2: Convert to fraction form
    624.11/862.11 = 437.47/x
  3. Step 3: Cross multiply
    624.11x = 862.11 × 437.47
  4. Step 4: Simplify right side
    624.11x = 377,145.11
  5. Step 5: Solve for x
    x = 377,145.11/624.11
  6. Step 6: Final answer
    x = 604.30

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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.