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Finding the Fourth Proportional to 646.54, 892.15 and 380.96

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Solution

The fourth proportional to 646.54, 892.15 and 380.96 is: 525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.54 : 892.15 = 380.96 : x
  2. Step 2: Convert to fraction form
    646.54/892.15 = 380.96/x
  3. Step 3: Cross multiply
    646.54x = 892.15 × 380.96
  4. Step 4: Simplify right side
    646.54x = 339,871.23
  5. Step 5: Solve for x
    x = 339,871.23/646.54
  6. Step 6: Final answer
    x = 525.68

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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.