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Finding the Fourth Proportional to 570.45, 856.08 and 205.26

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Solution

The fourth proportional to 570.45, 856.08 and 205.26 is: 308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.45 : 856.08 = 205.26 : x
  2. Step 2: Convert to fraction form
    570.45/856.08 = 205.26/x
  3. Step 3: Cross multiply
    570.45x = 856.08 × 205.26
  4. Step 4: Simplify right side
    570.45x = 175,718.98
  5. Step 5: Solve for x
    x = 175,718.98/570.45
  6. Step 6: Final answer
    x = 308.04

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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.