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Finding the Fourth Proportional to 294.03, 440.84 and 213.23

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Solution

The fourth proportional to 294.03, 440.84 and 213.23 is: 319.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.03 : 440.84 = 213.23 : x
  2. Step 2: Convert to fraction form
    294.03/440.84 = 213.23/x
  3. Step 3: Cross multiply
    294.03x = 440.84 × 213.23
  4. Step 4: Simplify right side
    294.03x = 94,001.95
  5. Step 5: Solve for x
    x = 94,001.95/294.03
  6. Step 6: Final answer
    x = 319.70

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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.