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Finding the Fourth Proportional to 571.10, 856.16 and 263.10

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Solution

The fourth proportional to 571.10, 856.16 and 263.10 is: 394.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.10 : 856.16 = 263.10 : x
  2. Step 2: Convert to fraction form
    571.10/856.16 = 263.10/x
  3. Step 3: Cross multiply
    571.10x = 856.16 × 263.10
  4. Step 4: Simplify right side
    571.10x = 225,255.70
  5. Step 5: Solve for x
    x = 225,255.70/571.10
  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.