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Finding the Fourth Proportional to 649.59, 896.34 and 384.12

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Solution

The fourth proportional to 649.59, 896.34 and 384.12 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 896.34 = 384.12 : x
  2. Step 2: Convert to fraction form
    649.59/896.34 = 384.12/x
  3. Step 3: Cross multiply
    649.59x = 896.34 × 384.12
  4. Step 4: Simplify right side
    649.59x = 344,302.12
  5. Step 5: Solve for x
    x = 344,302.12/649.59
  6. Step 6: Final answer
    x = 530.03

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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.