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Finding the Fourth Proportional to 646.77, 892.58 and 352.03

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Solution

The fourth proportional to 646.77, 892.58 and 352.03 is: 485.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.77 : 892.58 = 352.03 : x
  2. Step 2: Convert to fraction form
    646.77/892.58 = 352.03/x
  3. Step 3: Cross multiply
    646.77x = 892.58 × 352.03
  4. Step 4: Simplify right side
    646.77x = 314,214.94
  5. Step 5: Solve for x
    x = 314,214.94/646.77
  6. Step 6: Final answer
    x = 485.82

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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.