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Finding the Fourth Proportional to 389.64, 537.30 and 334.56

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Solution

The fourth proportional to 389.64, 537.30 and 334.56 is: 461.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.64 : 537.30 = 334.56 : x
  2. Step 2: Convert to fraction form
    389.64/537.30 = 334.56/x
  3. Step 3: Cross multiply
    389.64x = 537.30 × 334.56
  4. Step 4: Simplify right side
    389.64x = 179,759.09
  5. Step 5: Solve for x
    x = 179,759.09/389.64
  6. Step 6: Final answer
    x = 461.35

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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.