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Finding the Fourth Proportional to 571.75, 857.62 and 263.34

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Solution

The fourth proportional to 571.75, 857.62 and 263.34 is: 395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 857.62 = 263.34 : x
  2. Step 2: Convert to fraction form
    571.75/857.62 = 263.34/x
  3. Step 3: Cross multiply
    571.75x = 857.62 × 263.34
  4. Step 4: Simplify right side
    571.75x = 225,845.65
  5. Step 5: Solve for x
    x = 225,845.65/571.75
  6. Step 6: Final answer
    x = 395.01

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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.