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Finding the Fourth Proportional to 422.16, 633.36 and 349.88

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Solution

The fourth proportional to 422.16, 633.36 and 349.88 is: 524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 633.36 = 349.88 : x
  2. Step 2: Convert to fraction form
    422.16/633.36 = 349.88/x
  3. Step 3: Cross multiply
    422.16x = 633.36 × 349.88
  4. Step 4: Simplify right side
    422.16x = 221,600.00
  5. Step 5: Solve for x
    x = 221,600.00/422.16
  6. Step 6: Final answer
    x = 524.92

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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.