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Finding the Fourth Proportional to 646.61, 892.37 and 488.96

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Solution

The fourth proportional to 646.61, 892.37 and 488.96 is: 674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.61 : 892.37 = 488.96 : x
  2. Step 2: Convert to fraction form
    646.61/892.37 = 488.96/x
  3. Step 3: Cross multiply
    646.61x = 892.37 × 488.96
  4. Step 4: Simplify right side
    646.61x = 436,333.24
  5. Step 5: Solve for x
    x = 436,333.24/646.61
  6. Step 6: Final answer
    x = 674.80

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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.