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Finding the Fourth Proportional to 647.38, 893.10 and 385.30

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Solution

The fourth proportional to 647.38, 893.10 and 385.30 is: 531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 893.10 = 385.30 : x
  2. Step 2: Convert to fraction form
    647.38/893.10 = 385.30/x
  3. Step 3: Cross multiply
    647.38x = 893.10 × 385.30
  4. Step 4: Simplify right side
    647.38x = 344,111.43
  5. Step 5: Solve for x
    x = 344,111.43/647.38
  6. Step 6: Final answer
    x = 531.54

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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.