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Finding the Fourth Proportional to 641.66, 885.89 and 420.98

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Solution

The fourth proportional to 641.66, 885.89 and 420.98 is: 581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.66 : 885.89 = 420.98 : x
  2. Step 2: Convert to fraction form
    641.66/885.89 = 420.98/x
  3. Step 3: Cross multiply
    641.66x = 885.89 × 420.98
  4. Step 4: Simplify right side
    641.66x = 372,941.97
  5. Step 5: Solve for x
    x = 372,941.97/641.66
  6. Step 6: Final answer
    x = 581.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.