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Finding the Fourth Proportional to 571.59, 857.76 and 206.35

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Solution

The fourth proportional to 571.59, 857.76 and 206.35 is: 309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.59 : 857.76 = 206.35 : x
  2. Step 2: Convert to fraction form
    571.59/857.76 = 206.35/x
  3. Step 3: Cross multiply
    571.59x = 857.76 × 206.35
  4. Step 4: Simplify right side
    571.59x = 176,995.86
  5. Step 5: Solve for x
    x = 176,995.86/571.59
  6. Step 6: Final answer
    x = 309.66

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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.