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Finding the Fourth Proportional to 649.61, 896.20 and 384.09

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Solution

The fourth proportional to 649.61, 896.20 and 384.09 is: 529.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.61 : 896.20 = 384.09 : x
  2. Step 2: Convert to fraction form
    649.61/896.20 = 384.09/x
  3. Step 3: Cross multiply
    649.61x = 896.20 × 384.09
  4. Step 4: Simplify right side
    649.61x = 344,221.46
  5. Step 5: Solve for x
    x = 344,221.46/649.61
  6. Step 6: Final answer
    x = 529.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.