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Finding the Fourth Proportional to 422.94, 633.30 and 332.10

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Solution

The fourth proportional to 422.94, 633.30 and 332.10 is: 497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 633.30 = 332.10 : x
  2. Step 2: Convert to fraction form
    422.94/633.30 = 332.10/x
  3. Step 3: Cross multiply
    422.94x = 633.30 × 332.10
  4. Step 4: Simplify right side
    422.94x = 210,318.93
  5. Step 5: Solve for x
    x = 210,318.93/422.94
  6. Step 6: Final answer
    x = 497.28

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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.