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Finding the Fourth Proportional to 646.86, 892.64 and 352.13

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Solution

The fourth proportional to 646.86, 892.64 and 352.13 is: 485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 892.64 = 352.13 : x
  2. Step 2: Convert to fraction form
    646.86/892.64 = 352.13/x
  3. Step 3: Cross multiply
    646.86x = 892.64 × 352.13
  4. Step 4: Simplify right side
    646.86x = 314,323.56
  5. Step 5: Solve for x
    x = 314,323.56/646.86
  6. Step 6: Final answer
    x = 485.92

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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.