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Finding the Fourth Proportional to 552.80, 827.94 and 469.64

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Solution

The fourth proportional to 552.80, 827.94 and 469.64 is: 703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.80 : 827.94 = 469.64 : x
  2. Step 2: Convert to fraction form
    552.80/827.94 = 469.64/x
  3. Step 3: Cross multiply
    552.80x = 827.94 × 469.64
  4. Step 4: Simplify right side
    552.80x = 388,833.74
  5. Step 5: Solve for x
    x = 388,833.74/552.80
  6. Step 6: Final answer
    x = 703.39

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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.