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Finding the Fourth Proportional to 646.12, 891.94 and 425.08

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Solution

The fourth proportional to 646.12, 891.94 and 425.08 is: 586.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.12 : 891.94 = 425.08 : x
  2. Step 2: Convert to fraction form
    646.12/891.94 = 425.08/x
  3. Step 3: Cross multiply
    646.12x = 891.94 × 425.08
  4. Step 4: Simplify right side
    646.12x = 379,145.86
  5. Step 5: Solve for x
    x = 379,145.86/646.12
  6. Step 6: Final answer
    x = 586.80

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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.