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Finding the Fourth Proportional to 595.69, 892.81 and 422.41

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Solution

The fourth proportional to 595.69, 892.81 and 422.41 is: 633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.69 : 892.81 = 422.41 : x
  2. Step 2: Convert to fraction form
    595.69/892.81 = 422.41/x
  3. Step 3: Cross multiply
    595.69x = 892.81 × 422.41
  4. Step 4: Simplify right side
    595.69x = 377,131.87
  5. Step 5: Solve for x
    x = 377,131.87/595.69
  6. Step 6: Final answer
    x = 633.10

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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.