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Finding the Fourth Proportional to 646.92, 892.97 and 381.35

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Solution

The fourth proportional to 646.92, 892.97 and 381.35 is: 526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 892.97 = 381.35 : x
  2. Step 2: Convert to fraction form
    646.92/892.97 = 381.35/x
  3. Step 3: Cross multiply
    646.92x = 892.97 × 381.35
  4. Step 4: Simplify right side
    646.92x = 340,537.30
  5. Step 5: Solve for x
    x = 340,537.30/646.92
  6. Step 6: Final answer
    x = 526.40

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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.