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Finding the Fourth Proportional to 552.13, 827.89 and 420.41

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Solution

The fourth proportional to 552.13, 827.89 and 420.41 is: 630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.13 : 827.89 = 420.41 : x
  2. Step 2: Convert to fraction form
    552.13/827.89 = 420.41/x
  3. Step 3: Cross multiply
    552.13x = 827.89 × 420.41
  4. Step 4: Simplify right side
    552.13x = 348,054.25
  5. Step 5: Solve for x
    x = 348,054.25/552.13
  6. Step 6: Final answer
    x = 630.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.