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Finding the Fourth Proportional to 570.94, 856.74 and 246.34

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Solution

The fourth proportional to 570.94, 856.74 and 246.34 is: 369.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.94 : 856.74 = 246.34 : x
  2. Step 2: Convert to fraction form
    570.94/856.74 = 246.34/x
  3. Step 3: Cross multiply
    570.94x = 856.74 × 246.34
  4. Step 4: Simplify right side
    570.94x = 211,049.33
  5. Step 5: Solve for x
    x = 211,049.33/570.94
  6. Step 6: Final answer
    x = 369.65

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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.