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Finding the Fourth Proportional to 570.77, 856.08 and 224.37

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Solution

The fourth proportional to 570.77, 856.08 and 224.37 is: 336.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.77 : 856.08 = 224.37 : x
  2. Step 2: Convert to fraction form
    570.77/856.08 = 224.37/x
  3. Step 3: Cross multiply
    570.77x = 856.08 × 224.37
  4. Step 4: Simplify right side
    570.77x = 192,078.67
  5. Step 5: Solve for x
    x = 192,078.67/570.77
  6. Step 6: Final answer
    x = 336.53

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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.