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Finding the Fourth Proportional to 649.91, 896.72 and 384.23

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Solution

The fourth proportional to 649.91, 896.72 and 384.23 is: 530.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.91 : 896.72 = 384.23 : x
  2. Step 2: Convert to fraction form
    649.91/896.72 = 384.23/x
  3. Step 3: Cross multiply
    649.91x = 896.72 × 384.23
  4. Step 4: Simplify right side
    649.91x = 344,546.73
  5. Step 5: Solve for x
    x = 344,546.73/649.91
  6. Step 6: Final answer
    x = 530.15

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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.