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Finding the Fourth Proportional to 647.16, 892.82 and 385.14

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Solution

The fourth proportional to 647.16, 892.82 and 385.14 is: 531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.16 : 892.82 = 385.14 : x
  2. Step 2: Convert to fraction form
    647.16/892.82 = 385.14/x
  3. Step 3: Cross multiply
    647.16x = 892.82 × 385.14
  4. Step 4: Simplify right side
    647.16x = 343,860.69
  5. Step 5: Solve for x
    x = 343,860.69/647.16
  6. Step 6: Final answer
    x = 531.34

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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.