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Finding the Fourth Proportional to 647.10, 893.07 and 385.05

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Solution

The fourth proportional to 647.10, 893.07 and 385.05 is: 531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.10 : 893.07 = 385.05 : x
  2. Step 2: Convert to fraction form
    647.10/893.07 = 385.05/x
  3. Step 3: Cross multiply
    647.10x = 893.07 × 385.05
  4. Step 4: Simplify right side
    647.10x = 343,876.60
  5. Step 5: Solve for x
    x = 343,876.60/647.10
  6. Step 6: Final answer
    x = 531.41

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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.