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Finding the Fourth Proportional to 378.34, 522.01 and 220.87

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Solution

The fourth proportional to 378.34, 522.01 and 220.87 is: 304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.34 : 522.01 = 220.87 : x
  2. Step 2: Convert to fraction form
    378.34/522.01 = 220.87/x
  3. Step 3: Cross multiply
    378.34x = 522.01 × 220.87
  4. Step 4: Simplify right side
    378.34x = 115,296.35
  5. Step 5: Solve for x
    x = 115,296.35/378.34
  6. Step 6: Final answer
    x = 304.74

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