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Finding the Fourth Proportional to 535.81, 739.16 and 378.47

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Solution

The fourth proportional to 535.81, 739.16 and 378.47 is: 522.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.81 : 739.16 = 378.47 : x
  2. Step 2: Convert to fraction form
    535.81/739.16 = 378.47/x
  3. Step 3: Cross multiply
    535.81x = 739.16 × 378.47
  4. Step 4: Simplify right side
    535.81x = 279,749.89
  5. Step 5: Solve for x
    x = 279,749.89/535.81
  6. Step 6: Final answer
    x = 522.11

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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.