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Finding the Fourth Proportional to 641.50, 885.32 and 365.50

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Solution

The fourth proportional to 641.50, 885.32 and 365.50 is: 504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.50 : 885.32 = 365.50 : x
  2. Step 2: Convert to fraction form
    641.50/885.32 = 365.50/x
  3. Step 3: Cross multiply
    641.50x = 885.32 × 365.50
  4. Step 4: Simplify right side
    641.50x = 323,584.46
  5. Step 5: Solve for x
    x = 323,584.46/641.50
  6. Step 6: Final answer
    x = 504.42

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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.