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Finding the Fourth Proportional to 552.08, 827.45 and 292.04

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Solution

The fourth proportional to 552.08, 827.45 and 292.04 is: 437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.08 : 827.45 = 292.04 : x
  2. Step 2: Convert to fraction form
    552.08/827.45 = 292.04/x
  3. Step 3: Cross multiply
    552.08x = 827.45 × 292.04
  4. Step 4: Simplify right side
    552.08x = 241,647.10
  5. Step 5: Solve for x
    x = 241,647.10/552.08
  6. Step 6: Final answer
    x = 437.70

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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.