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Finding the Fourth Proportional to 570.83, 856.26 and 224.15

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Solution

The fourth proportional to 570.83, 856.26 and 224.15 is: 336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.83 : 856.26 = 224.15 : x
  2. Step 2: Convert to fraction form
    570.83/856.26 = 224.15/x
  3. Step 3: Cross multiply
    570.83x = 856.26 × 224.15
  4. Step 4: Simplify right side
    570.83x = 191,930.68
  5. Step 5: Solve for x
    x = 191,930.68/570.83
  6. Step 6: Final answer
    x = 336.23

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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.