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Finding the Fourth Proportional to 646.86, 892.76 and 426.26

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Solution

The fourth proportional to 646.86, 892.76 and 426.26 is: 588.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.86 : 892.76 = 426.26 : x
  2. Step 2: Convert to fraction form
    646.86/892.76 = 426.26/x
  3. Step 3: Cross multiply
    646.86x = 892.76 × 426.26
  4. Step 4: Simplify right side
    646.86x = 380,547.88
  5. Step 5: Solve for x
    x = 380,547.88/646.86
  6. Step 6: Final answer
    x = 588.30

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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.