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Finding the Fourth Proportional to 294.61, 443.63 and 218.12

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Solution

The fourth proportional to 294.61, 443.63 and 218.12 is: 328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.61 : 443.63 = 218.12 : x
  2. Step 2: Convert to fraction form
    294.61/443.63 = 218.12/x
  3. Step 3: Cross multiply
    294.61x = 443.63 × 218.12
  4. Step 4: Simplify right side
    294.61x = 96,763.84
  5. Step 5: Solve for x
    x = 96,763.84/294.61
  6. Step 6: Final answer
    x = 328.44

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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.