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Finding the Fourth Proportional to 646.98, 892.84 and 352.25

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Solution

The fourth proportional to 646.98, 892.84 and 352.25 is: 486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.98 : 892.84 = 352.25 : x
  2. Step 2: Convert to fraction form
    646.98/892.84 = 352.25/x
  3. Step 3: Cross multiply
    646.98x = 892.84 × 352.25
  4. Step 4: Simplify right side
    646.98x = 314,504.24
  5. Step 5: Solve for x
    x = 314,504.24/646.98
  6. Step 6: Final answer
    x = 486.11

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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.