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Finding the Fourth Proportional to 571.86, 856.64 and 263.30

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Solution

The fourth proportional to 571.86, 856.64 and 263.30 is: 394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 856.64 = 263.30 : x
  2. Step 2: Convert to fraction form
    571.86/856.64 = 263.30/x
  3. Step 3: Cross multiply
    571.86x = 856.64 × 263.30
  4. Step 4: Simplify right side
    571.86x = 225,549.69
  5. Step 5: Solve for x
    x = 225,549.69/571.86
  6. Step 6: Final answer
    x = 394.41

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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.