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Finding the Fourth Proportional to 649.87, 896.45 and 384.22

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Solution

The fourth proportional to 649.87, 896.45 and 384.22 is: 530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.87 : 896.45 = 384.22 : x
  2. Step 2: Convert to fraction form
    649.87/896.45 = 384.22/x
  3. Step 3: Cross multiply
    649.87x = 896.45 × 384.22
  4. Step 4: Simplify right side
    649.87x = 344,437.72
  5. Step 5: Solve for x
    x = 344,437.72/649.87
  6. Step 6: Final answer
    x = 530.01

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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.