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Finding the Fourth Proportional to 294.96, 444.15 and 218.46

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Solution

The fourth proportional to 294.96, 444.15 and 218.46 is: 328.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.96 : 444.15 = 218.46 : x
  2. Step 2: Convert to fraction form
    294.96/444.15 = 218.46/x
  3. Step 3: Cross multiply
    294.96x = 444.15 × 218.46
  4. Step 4: Simplify right side
    294.96x = 97,029.57
  5. Step 5: Solve for x
    x = 97,029.57/294.96
  6. Step 6: Final answer
    x = 328.96

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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.