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Finding the Fourth Proportional to 570.56, 856.09 and 310.75

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Solution

The fourth proportional to 570.56, 856.09 and 310.75 is: 466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 856.09 = 310.75 : x
  2. Step 2: Convert to fraction form
    570.56/856.09 = 310.75/x
  3. Step 3: Cross multiply
    570.56x = 856.09 × 310.75
  4. Step 4: Simplify right side
    570.56x = 266,029.97
  5. Step 5: Solve for x
    x = 266,029.97/570.56
  6. Step 6: Final answer
    x = 466.26

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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.