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Finding the Fourth Proportional to 571.48, 856.96 and 206.14

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Solution

The fourth proportional to 571.48, 856.96 and 206.14 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 856.96 = 206.14 : x
  2. Step 2: Convert to fraction form
    571.48/856.96 = 206.14/x
  3. Step 3: Cross multiply
    571.48x = 856.96 × 206.14
  4. Step 4: Simplify right side
    571.48x = 176,653.73
  5. Step 5: Solve for x
    x = 176,653.73/571.48
  6. Step 6: Final answer
    x = 309.12

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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.