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Finding the Fourth Proportional to 570.56, 856.11 and 310.55

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Solution

The fourth proportional to 570.56, 856.11 and 310.55 is: 465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 856.11 = 310.55 : x
  2. Step 2: Convert to fraction form
    570.56/856.11 = 310.55/x
  3. Step 3: Cross multiply
    570.56x = 856.11 × 310.55
  4. Step 4: Simplify right side
    570.56x = 265,860.68
  5. Step 5: Solve for x
    x = 265,860.68/570.56
  6. Step 6: Final answer
    x = 465.97

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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.