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Finding the Fourth Proportional to 649.80, 896.93 and 384.22

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Solution

The fourth proportional to 649.80, 896.93 and 384.22 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.80 : 896.93 = 384.22 : x
  2. Step 2: Convert to fraction form
    649.80/896.93 = 384.22/x
  3. Step 3: Cross multiply
    649.80x = 896.93 × 384.22
  4. Step 4: Simplify right side
    649.80x = 344,619.09
  5. Step 5: Solve for x
    x = 344,619.09/649.80
  6. Step 6: Final answer
    x = 530.35

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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.