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Finding the Fourth Proportional to 403.38, 604.87 and 295.25

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Solution

The fourth proportional to 403.38, 604.87 and 295.25 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.38 : 604.87 = 295.25 : x
  2. Step 2: Convert to fraction form
    403.38/604.87 = 295.25/x
  3. Step 3: Cross multiply
    403.38x = 604.87 × 295.25
  4. Step 4: Simplify right side
    403.38x = 178,584.11
  5. Step 5: Solve for x
    x = 178,584.11/403.38
  6. Step 6: Final answer
    x = 442.72

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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.