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Finding the Fourth Proportional to 535.73, 804.06 and 289.13

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Solution

The fourth proportional to 535.73, 804.06 and 289.13 is: 433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.73 : 804.06 = 289.13 : x
  2. Step 2: Convert to fraction form
    535.73/804.06 = 289.13/x
  3. Step 3: Cross multiply
    535.73x = 804.06 × 289.13
  4. Step 4: Simplify right side
    535.73x = 232,473.85
  5. Step 5: Solve for x
    x = 232,473.85/535.73
  6. Step 6: Final answer
    x = 433.94

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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.