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Finding the Fourth Proportional to 294.20, 443 and 262

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Solution

The fourth proportional to 294.20, 443 and 262 is: 394.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.20 : 443 = 262 : x
  2. Step 2: Convert to fraction form
    294.20/443 = 262/x
  3. Step 3: Cross multiply
    294.20x = 443 × 262
  4. Step 4: Simplify right side
    294.20x = 116,066
  5. Step 5: Solve for x
    x = 116,066/294.20
  6. Step 6: Final answer
    x = 394.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.