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Finding the Fourth Proportional to 535.84, 804.16 and 262.08

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Solution

The fourth proportional to 535.84, 804.16 and 262.08 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.84 : 804.16 = 262.08 : x
  2. Step 2: Convert to fraction form
    535.84/804.16 = 262.08/x
  3. Step 3: Cross multiply
    535.84x = 804.16 × 262.08
  4. Step 4: Simplify right side
    535.84x = 210,754.25
  5. Step 5: Solve for x
    x = 210,754.25/535.84
  6. Step 6: Final answer
    x = 393.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.