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Finding the Fourth Proportional to 646.95, 892.67 and 385.05

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Solution

The fourth proportional to 646.95, 892.67 and 385.05 is: 531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.95 : 892.67 = 385.05 : x
  2. Step 2: Convert to fraction form
    646.95/892.67 = 385.05/x
  3. Step 3: Cross multiply
    646.95x = 892.67 × 385.05
  4. Step 4: Simplify right side
    646.95x = 343,720.66
  5. Step 5: Solve for x
    x = 343,720.66/646.95
  6. Step 6: Final answer
    x = 531.29

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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.