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Finding the Fourth Proportional to 294.30, 440.43 and 202.38

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Solution

The fourth proportional to 294.30, 440.43 and 202.38 is: 302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 440.43 = 202.38 : x
  2. Step 2: Convert to fraction form
    294.30/440.43 = 202.38/x
  3. Step 3: Cross multiply
    294.30x = 440.43 × 202.38
  4. Step 4: Simplify right side
    294.30x = 89,134.22
  5. Step 5: Solve for x
    x = 89,134.22/294.30
  6. Step 6: Final answer
    x = 302.87

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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.