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Finding the Fourth Proportional to 646.92, 892.75 and 352.19

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Solution

The fourth proportional to 646.92, 892.75 and 352.19 is: 486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.92 : 892.75 = 352.19 : x
  2. Step 2: Convert to fraction form
    646.92/892.75 = 352.19/x
  3. Step 3: Cross multiply
    646.92x = 892.75 × 352.19
  4. Step 4: Simplify right side
    646.92x = 314,411.40
  5. Step 5: Solve for x
    x = 314,411.40/646.92
  6. Step 6: Final answer
    x = 486.01

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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.