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Finding the Fourth Proportional to 551.09, 759.32 and 522.23

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Solution

The fourth proportional to 551.09, 759.32 and 522.23 is: 719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.09 : 759.32 = 522.23 : x
  2. Step 2: Convert to fraction form
    551.09/759.32 = 522.23/x
  3. Step 3: Cross multiply
    551.09x = 759.32 × 522.23
  4. Step 4: Simplify right side
    551.09x = 396,533.28
  5. Step 5: Solve for x
    x = 396,533.28/551.09
  6. Step 6: Final answer
    x = 719.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.