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Finding the Fourth Proportional to 571.60, 857.04 and 263.06

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Solution

The fourth proportional to 571.60, 857.04 and 263.06 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 857.04 = 263.06 : x
  2. Step 2: Convert to fraction form
    571.60/857.04 = 263.06/x
  3. Step 3: Cross multiply
    571.60x = 857.04 × 263.06
  4. Step 4: Simplify right side
    571.60x = 225,452.94
  5. Step 5: Solve for x
    x = 225,452.94/571.60
  6. Step 6: Final answer
    x = 394.42

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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.