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Finding the Fourth Proportional to 566.63, 850.00 and 210.54

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Solution

The fourth proportional to 566.63, 850.00 and 210.54 is: 315.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.63 : 850.00 = 210.54 : x
  2. Step 2: Convert to fraction form
    566.63/850.00 = 210.54/x
  3. Step 3: Cross multiply
    566.63x = 850.00 × 210.54
  4. Step 4: Simplify right side
    566.63x = 178,956.56
  5. Step 5: Solve for x
    x = 178,956.56/566.63
  6. Step 6: Final answer
    x = 315.83

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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.