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Finding the Fourth Proportional to 422.94, 632.95 and 335.54

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Solution

The fourth proportional to 422.94, 632.95 and 335.54 is: 502.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 632.95 = 335.54 : x
  2. Step 2: Convert to fraction form
    422.94/632.95 = 335.54/x
  3. Step 3: Cross multiply
    422.94x = 632.95 × 335.54
  4. Step 4: Simplify right side
    422.94x = 212,376.04
  5. Step 5: Solve for x
    x = 212,376.04/422.94
  6. Step 6: Final answer
    x = 502.14

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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.