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Finding the Fourth Proportional to 571.87, 857.87 and 225.16

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Solution

The fourth proportional to 571.87, 857.87 and 225.16 is: 337.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.87 : 857.87 = 225.16 : x
  2. Step 2: Convert to fraction form
    571.87/857.87 = 225.16/x
  3. Step 3: Cross multiply
    571.87x = 857.87 × 225.16
  4. Step 4: Simplify right side
    571.87x = 193,155.58
  5. Step 5: Solve for x
    x = 193,155.58/571.87
  6. Step 6: Final answer
    x = 337.76

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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.