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Finding the Fourth Proportional to 571.74, 856.95 and 206.22

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Solution

The fourth proportional to 571.74, 856.95 and 206.22 is: 309.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.74 : 856.95 = 206.22 : x
  2. Step 2: Convert to fraction form
    571.74/856.95 = 206.22/x
  3. Step 3: Cross multiply
    571.74x = 856.95 × 206.22
  4. Step 4: Simplify right side
    571.74x = 176,720.23
  5. Step 5: Solve for x
    x = 176,720.23/571.74
  6. Step 6: Final answer
    x = 309.09

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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.