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Finding the Fourth Proportional to 646.29, 891.05 and 480.69

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Solution

The fourth proportional to 646.29, 891.05 and 480.69 is: 662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.29 : 891.05 = 480.69 : x
  2. Step 2: Convert to fraction form
    646.29/891.05 = 480.69/x
  3. Step 3: Cross multiply
    646.29x = 891.05 × 480.69
  4. Step 4: Simplify right side
    646.29x = 428,316.42
  5. Step 5: Solve for x
    x = 428,316.42/646.29
  6. Step 6: Final answer
    x = 662.73

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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.