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Finding the Fourth Proportional to 571.53, 856.15 and 262.95

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Solution

The fourth proportional to 571.53, 856.15 and 262.95 is: 393.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.53 : 856.15 = 262.95 : x
  2. Step 2: Convert to fraction form
    571.53/856.15 = 262.95/x
  3. Step 3: Cross multiply
    571.53x = 856.15 × 262.95
  4. Step 4: Simplify right side
    571.53x = 225,123.33
  5. Step 5: Solve for x
    x = 225,123.33/571.53
  6. Step 6: Final answer
    x = 393.90

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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.