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Finding the Fourth Proportional to 570.70, 856.46 and 246.30

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Solution

The fourth proportional to 570.70, 856.46 and 246.30 is: 369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.70 : 856.46 = 246.30 : x
  2. Step 2: Convert to fraction form
    570.70/856.46 = 246.30/x
  3. Step 3: Cross multiply
    570.70x = 856.46 × 246.30
  4. Step 4: Simplify right side
    570.70x = 210,946.10
  5. Step 5: Solve for x
    x = 210,946.10/570.70
  6. Step 6: Final answer
    x = 369.63

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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.