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Finding the Fourth Proportional to 551.66, 827.55 and 259.02

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Solution

The fourth proportional to 551.66, 827.55 and 259.02 is: 388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.66 : 827.55 = 259.02 : x
  2. Step 2: Convert to fraction form
    551.66/827.55 = 259.02/x
  3. Step 3: Cross multiply
    551.66x = 827.55 × 259.02
  4. Step 4: Simplify right side
    551.66x = 214,352.00
  5. Step 5: Solve for x
    x = 214,352.00/551.66
  6. Step 6: Final answer
    x = 388.56

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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.