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Finding the Fourth Proportional to 535.96, 744.25 and 531.64

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Solution

The fourth proportional to 535.96, 744.25 and 531.64 is: 738.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.96 : 744.25 = 531.64 : x
  2. Step 2: Convert to fraction form
    535.96/744.25 = 531.64/x
  3. Step 3: Cross multiply
    535.96x = 744.25 × 531.64
  4. Step 4: Simplify right side
    535.96x = 395,673.07
  5. Step 5: Solve for x
    x = 395,673.07/535.96
  6. Step 6: Final answer
    x = 738.25

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.