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Finding the Fourth Proportional to 647.78, 893.94 and 353.05

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Solution

The fourth proportional to 647.78, 893.94 and 353.05 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.78 : 893.94 = 353.05 : x
  2. Step 2: Convert to fraction form
    647.78/893.94 = 353.05/x
  3. Step 3: Cross multiply
    647.78x = 893.94 × 353.05
  4. Step 4: Simplify right side
    647.78x = 315,608.03
  5. Step 5: Solve for x
    x = 315,608.03/647.78
  6. Step 6: Final answer
    x = 487.21

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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.