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Finding the Fourth Proportional to 646.16, 892.12 and 528.42

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Solution

The fourth proportional to 646.16, 892.12 and 528.42 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.16 : 892.12 = 528.42 : x
  2. Step 2: Convert to fraction form
    646.16/892.12 = 528.42/x
  3. Step 3: Cross multiply
    646.16x = 892.12 × 528.42
  4. Step 4: Simplify right side
    646.16x = 471,414.05
  5. Step 5: Solve for x
    x = 471,414.05/646.16
  6. Step 6: Final answer
    x = 729.56

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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.