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Finding the Fourth Proportional to 647.14, 893.08 and 385.36

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Solution

The fourth proportional to 647.14, 893.08 and 385.36 is: 531.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.14 : 893.08 = 385.36 : x
  2. Step 2: Convert to fraction form
    647.14/893.08 = 385.36/x
  3. Step 3: Cross multiply
    647.14x = 893.08 × 385.36
  4. Step 4: Simplify right side
    647.14x = 344,157.31
  5. Step 5: Solve for x
    x = 344,157.31/647.14
  6. Step 6: Final answer
    x = 531.81

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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.