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Finding the Fourth Proportional to 551.91, 829.44 and 531.46

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Solution

The fourth proportional to 551.91, 829.44 and 531.46 is: 798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.91 : 829.44 = 531.46 : x
  2. Step 2: Convert to fraction form
    551.91/829.44 = 531.46/x
  3. Step 3: Cross multiply
    551.91x = 829.44 × 531.46
  4. Step 4: Simplify right side
    551.91x = 440,815.22
  5. Step 5: Solve for x
    x = 440,815.22/551.91
  6. Step 6: Final answer
    x = 798.70

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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.