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Finding the Fourth Proportional to 535.98, 804.78 and 475.50

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Solution

The fourth proportional to 535.98, 804.78 and 475.50 is: 713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.98 : 804.78 = 475.50 : x
  2. Step 2: Convert to fraction form
    535.98/804.78 = 475.50/x
  3. Step 3: Cross multiply
    535.98x = 804.78 × 475.50
  4. Step 4: Simplify right side
    535.98x = 382,672.89
  5. Step 5: Solve for x
    x = 382,672.89/535.98
  6. Step 6: Final answer
    x = 713.97

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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.