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Finding the Fourth Proportional to 641.76, 885.77 and 420.63

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Solution

The fourth proportional to 641.76, 885.77 and 420.63 is: 580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.76 : 885.77 = 420.63 : x
  2. Step 2: Convert to fraction form
    641.76/885.77 = 420.63/x
  3. Step 3: Cross multiply
    641.76x = 885.77 × 420.63
  4. Step 4: Simplify right side
    641.76x = 372,579.33
  5. Step 5: Solve for x
    x = 372,579.33/641.76
  6. Step 6: Final answer
    x = 580.56

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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.