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Finding the Fourth Proportional to 571.23, 856.96 and 206.02

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Solution

The fourth proportional to 571.23, 856.96 and 206.02 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.23 : 856.96 = 206.02 : x
  2. Step 2: Convert to fraction form
    571.23/856.96 = 206.02/x
  3. Step 3: Cross multiply
    571.23x = 856.96 × 206.02
  4. Step 4: Simplify right side
    571.23x = 176,548.24
  5. Step 5: Solve for x
    x = 176,548.24/571.23
  6. Step 6: Final answer
    x = 309.07

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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.