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Finding the Fourth Proportional to 647.28, 893.25 and 385.25

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Solution

The fourth proportional to 647.28, 893.25 and 385.25 is: 531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.28 : 893.25 = 385.25 : x
  2. Step 2: Convert to fraction form
    647.28/893.25 = 385.25/x
  3. Step 3: Cross multiply
    647.28x = 893.25 × 385.25
  4. Step 4: Simplify right side
    647.28x = 344,120.10
  5. Step 5: Solve for x
    x = 344,120.10/647.28
  6. Step 6: Final answer
    x = 531.64

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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.