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Finding the Fourth Proportional to 570.52, 856.05 and 224.11

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Solution

The fourth proportional to 570.52, 856.05 and 224.11 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.52 : 856.05 = 224.11 : x
  2. Step 2: Convert to fraction form
    570.52/856.05 = 224.11/x
  3. Step 3: Cross multiply
    570.52x = 856.05 × 224.11
  4. Step 4: Simplify right side
    570.52x = 191,849.37
  5. Step 5: Solve for x
    x = 191,849.37/570.52
  6. Step 6: Final answer
    x = 336.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.