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Finding the Fourth Proportional to 571.32, 856.73 and 263.08

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Solution

The fourth proportional to 571.32, 856.73 and 263.08 is: 394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.32 : 856.73 = 263.08 : x
  2. Step 2: Convert to fraction form
    571.32/856.73 = 263.08/x
  3. Step 3: Cross multiply
    571.32x = 856.73 × 263.08
  4. Step 4: Simplify right side
    571.32x = 225,388.53
  5. Step 5: Solve for x
    x = 225,388.53/571.32
  6. Step 6: Final answer
    x = 394.50

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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.