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Finding the Fourth Proportional to 595.30, 893.49 and 422.03

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Solution

The fourth proportional to 595.30, 893.49 and 422.03 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.30 : 893.49 = 422.03 : x
  2. Step 2: Convert to fraction form
    595.30/893.49 = 422.03/x
  3. Step 3: Cross multiply
    595.30x = 893.49 × 422.03
  4. Step 4: Simplify right side
    595.30x = 377,079.58
  5. Step 5: Solve for x
    x = 377,079.58/595.30
  6. Step 6: Final answer
    x = 633.43

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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.