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Finding the Fourth Proportional to 535.89, 804.24 and 439.50

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Solution

The fourth proportional to 535.89, 804.24 and 439.50 is: 659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.89 : 804.24 = 439.50 : x
  2. Step 2: Convert to fraction form
    535.89/804.24 = 439.50/x
  3. Step 3: Cross multiply
    535.89x = 804.24 × 439.50
  4. Step 4: Simplify right side
    535.89x = 353,463.48
  5. Step 5: Solve for x
    x = 353,463.48/535.89
  6. Step 6: Final answer
    x = 659.58

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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.