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Finding the Fourth Proportional to 294.30, 440.91 and 212.94

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Solution

The fourth proportional to 294.30, 440.91 and 212.94 is: 319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.30 : 440.91 = 212.94 : x
  2. Step 2: Convert to fraction form
    294.30/440.91 = 212.94/x
  3. Step 3: Cross multiply
    294.30x = 440.91 × 212.94
  4. Step 4: Simplify right side
    294.30x = 93,887.38
  5. Step 5: Solve for x
    x = 93,887.38/294.30
  6. Step 6: Final answer
    x = 319.02

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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.