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Finding the Fourth Proportional to 570.82, 856.25 and 224.14

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Solution

The fourth proportional to 570.82, 856.25 and 224.14 is: 336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.82 : 856.25 = 224.14 : x
  2. Step 2: Convert to fraction form
    570.82/856.25 = 224.14/x
  3. Step 3: Cross multiply
    570.82x = 856.25 × 224.14
  4. Step 4: Simplify right side
    570.82x = 191,919.88
  5. Step 5: Solve for x
    x = 191,919.88/570.82
  6. Step 6: Final answer
    x = 336.22

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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.