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Finding the Fourth Proportional to 646.46, 891.71 and 425.33

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Solution

The fourth proportional to 646.46, 891.71 and 425.33 is: 586.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.46 : 891.71 = 425.33 : x
  2. Step 2: Convert to fraction form
    646.46/891.71 = 425.33/x
  3. Step 3: Cross multiply
    646.46x = 891.71 × 425.33
  4. Step 4: Simplify right side
    646.46x = 379,268.89
  5. Step 5: Solve for x
    x = 379,268.89/646.46
  6. Step 6: Final answer
    x = 586.69

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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.