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Finding the Fourth Proportional to 649.90, 896.86 and 384.34

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Solution

The fourth proportional to 649.90, 896.86 and 384.34 is: 530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 896.86 = 384.34 : x
  2. Step 2: Convert to fraction form
    649.90/896.86 = 384.34/x
  3. Step 3: Cross multiply
    649.90x = 896.86 × 384.34
  4. Step 4: Simplify right side
    649.90x = 344,699.17
  5. Step 5: Solve for x
    x = 344,699.17/649.90
  6. Step 6: Final answer
    x = 530.39

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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.