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Finding the Fourth Proportional to 570.99, 856.49 and 229.23

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Solution

The fourth proportional to 570.99, 856.49 and 229.23 is: 343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.99 : 856.49 = 229.23 : x
  2. Step 2: Convert to fraction form
    570.99/856.49 = 229.23/x
  3. Step 3: Cross multiply
    570.99x = 856.49 × 229.23
  4. Step 4: Simplify right side
    570.99x = 196,332.06
  5. Step 5: Solve for x
    x = 196,332.06/570.99
  6. Step 6: Final answer
    x = 343.85

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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.