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Finding the Fourth Proportional to 552.51, 827.84 and 369.95

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Solution

The fourth proportional to 552.51, 827.84 and 369.95 is: 554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 827.84 = 369.95 : x
  2. Step 2: Convert to fraction form
    552.51/827.84 = 369.95/x
  3. Step 3: Cross multiply
    552.51x = 827.84 × 369.95
  4. Step 4: Simplify right side
    552.51x = 306,259.41
  5. Step 5: Solve for x
    x = 306,259.41/552.51
  6. Step 6: Final answer
    x = 554.31

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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.