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Finding the Fourth Proportional to 552.44, 827.55 and 320.64

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Solution

The fourth proportional to 552.44, 827.55 and 320.64 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.44 : 827.55 = 320.64 : x
  2. Step 2: Convert to fraction form
    552.44/827.55 = 320.64/x
  3. Step 3: Cross multiply
    552.44x = 827.55 × 320.64
  4. Step 4: Simplify right side
    552.44x = 265,345.63
  5. Step 5: Solve for x
    x = 265,345.63/552.44
  6. Step 6: Final answer
    x = 480.32

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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.