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Finding the Fourth Proportional to 570.86, 856.08 and 205.55

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Solution

The fourth proportional to 570.86, 856.08 and 205.55 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 856.08 = 205.55 : x
  2. Step 2: Convert to fraction form
    570.86/856.08 = 205.55/x
  3. Step 3: Cross multiply
    570.86x = 856.08 × 205.55
  4. Step 4: Simplify right side
    570.86x = 175,967.24
  5. Step 5: Solve for x
    x = 175,967.24/570.86
  6. Step 6: Final answer
    x = 308.25

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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.