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Finding the Fourth Proportional to 646.66, 892.45 and 469.68

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Solution

The fourth proportional to 646.66, 892.45 and 469.68 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.66 : 892.45 = 469.68 : x
  2. Step 2: Convert to fraction form
    646.66/892.45 = 469.68/x
  3. Step 3: Cross multiply
    646.66x = 892.45 × 469.68
  4. Step 4: Simplify right side
    646.66x = 419,165.92
  5. Step 5: Solve for x
    x = 419,165.92/646.66
  6. Step 6: Final answer
    x = 648.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.