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Finding the Fourth Proportional to 646.34, 892.20 and 410.62

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Solution

The fourth proportional to 646.34, 892.20 and 410.62 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.34 : 892.20 = 410.62 : x
  2. Step 2: Convert to fraction form
    646.34/892.20 = 410.62/x
  3. Step 3: Cross multiply
    646.34x = 892.20 × 410.62
  4. Step 4: Simplify right side
    646.34x = 366,355.16
  5. Step 5: Solve for x
    x = 366,355.16/646.34
  6. Step 6: Final answer
    x = 566.81

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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.