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Finding the Fourth Proportional to 389.78, 537.90 and 334.52

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Solution

The fourth proportional to 389.78, 537.90 and 334.52 is: 461.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.78 : 537.90 = 334.52 : x
  2. Step 2: Convert to fraction form
    389.78/537.90 = 334.52/x
  3. Step 3: Cross multiply
    389.78x = 537.90 × 334.52
  4. Step 4: Simplify right side
    389.78x = 179,938.31
  5. Step 5: Solve for x
    x = 179,938.31/389.78
  6. Step 6: Final answer
    x = 461.64

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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.