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Finding the Fourth Proportional to 571.60, 857.46 and 206.32

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Solution

The fourth proportional to 571.60, 857.46 and 206.32 is: 309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.60 : 857.46 = 206.32 : x
  2. Step 2: Convert to fraction form
    571.60/857.46 = 206.32/x
  3. Step 3: Cross multiply
    571.60x = 857.46 × 206.32
  4. Step 4: Simplify right side
    571.60x = 176,911.15
  5. Step 5: Solve for x
    x = 176,911.15/571.60
  6. Step 6: Final answer
    x = 309.50

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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.