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Finding the Fourth Proportional to 422.30, 633.35 and 175.45

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Solution

The fourth proportional to 422.30, 633.35 and 175.45 is: 263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.30 : 633.35 = 175.45 : x
  2. Step 2: Convert to fraction form
    422.30/633.35 = 175.45/x
  3. Step 3: Cross multiply
    422.30x = 633.35 × 175.45
  4. Step 4: Simplify right side
    422.30x = 111,120.11
  5. Step 5: Solve for x
    x = 111,120.11/422.30
  6. Step 6: Final answer
    x = 263.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.