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Finding the Fourth Proportional to 570.94, 856.86 and 397.54

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Solution

The fourth proportional to 570.94, 856.86 and 397.54 is: 596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.94 : 856.86 = 397.54 : x
  2. Step 2: Convert to fraction form
    570.94/856.86 = 397.54/x
  3. Step 3: Cross multiply
    570.94x = 856.86 × 397.54
  4. Step 4: Simplify right side
    570.94x = 340,636.12
  5. Step 5: Solve for x
    x = 340,636.12/570.94
  6. Step 6: Final answer
    x = 596.62

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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.