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Finding the Fourth Proportional to 552.09, 827.44 and 291.45

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Solution

The fourth proportional to 552.09, 827.44 and 291.45 is: 436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.09 : 827.44 = 291.45 : x
  2. Step 2: Convert to fraction form
    552.09/827.44 = 291.45/x
  3. Step 3: Cross multiply
    552.09x = 827.44 × 291.45
  4. Step 4: Simplify right side
    552.09x = 241,155.93
  5. Step 5: Solve for x
    x = 241,155.93/552.09
  6. Step 6: Final answer
    x = 436.80

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