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Finding the Fourth Proportional to 551.80, 722.21 and 551.80

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Solution

The fourth proportional to 551.80, 722.21 and 551.80 is: 722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.80 : 722.21 = 551.80 : x
  2. Step 2: Convert to fraction form
    551.80/722.21 = 551.80/x
  3. Step 3: Cross multiply
    551.80x = 722.21 × 551.80
  4. Step 4: Simplify right side
    551.80x = 398,515.48
  5. Step 5: Solve for x
    x = 398,515.48/551.80
  6. Step 6: Final answer
    x = 722.21

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.