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Finding the Fourth Proportional to 378.95, 522.96 and 221.68

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Solution

The fourth proportional to 378.95, 522.96 and 221.68 is: 305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 522.96 = 221.68 : x
  2. Step 2: Convert to fraction form
    378.95/522.96 = 221.68/x
  3. Step 3: Cross multiply
    378.95x = 522.96 × 221.68
  4. Step 4: Simplify right side
    378.95x = 115,929.77
  5. Step 5: Solve for x
    x = 115,929.77/378.95
  6. Step 6: Final answer
    x = 305.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.