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Finding the Fourth Proportional to 646.23, 891.94 and 425.20

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Solution

The fourth proportional to 646.23, 891.94 and 425.20 is: 586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.23 : 891.94 = 425.20 : x
  2. Step 2: Convert to fraction form
    646.23/891.94 = 425.20/x
  3. Step 3: Cross multiply
    646.23x = 891.94 × 425.20
  4. Step 4: Simplify right side
    646.23x = 379,252.89
  5. Step 5: Solve for x
    x = 379,252.89/646.23
  6. Step 6: Final answer
    x = 586.87

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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.