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Finding the Fourth Proportional to 646.92, 892.73 and 352.18

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Solution

The fourth proportional to 646.92, 892.73 and 352.18 is: 486.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 892.73 = 352.18 : x
  2. Step 2: Convert to fraction form
    646.92/892.73 = 352.18/x
  3. Step 3: Cross multiply
    646.92x = 892.73 × 352.18
  4. Step 4: Simplify right side
    646.92x = 314,403.65
  5. Step 5: Solve for x
    x = 314,403.65/646.92
  6. Step 6: Final answer
    x = 486.00

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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.