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Finding the Fourth Proportional to 535.84, 804.12 and 262.12

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Solution

The fourth proportional to 535.84, 804.12 and 262.12 is: 393.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 804.12 = 262.12 : x
  2. Step 2: Convert to fraction form
    535.84/804.12 = 262.12/x
  3. Step 3: Cross multiply
    535.84x = 804.12 × 262.12
  4. Step 4: Simplify right side
    535.84x = 210,775.93
  5. Step 5: Solve for x
    x = 210,775.93/535.84
  6. Step 6: Final answer
    x = 393.36

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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.