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Finding the Fourth Proportional to 600.44, 901.25 and 384.17

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Solution

The fourth proportional to 600.44, 901.25 and 384.17 is: 576.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.44 : 901.25 = 384.17 : x
  2. Step 2: Convert to fraction form
    600.44/901.25 = 384.17/x
  3. Step 3: Cross multiply
    600.44x = 901.25 × 384.17
  4. Step 4: Simplify right side
    600.44x = 346,231.29
  5. Step 5: Solve for x
    x = 346,231.29/600.44
  6. Step 6: Final answer
    x = 576.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.