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Finding the Fourth Proportional to 354.45, 531.46 and 210.27

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Solution

The fourth proportional to 354.45, 531.46 and 210.27 is: 315.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.45 : 531.46 = 210.27 : x
  2. Step 2: Convert to fraction form
    354.45/531.46 = 210.27/x
  3. Step 3: Cross multiply
    354.45x = 531.46 × 210.27
  4. Step 4: Simplify right side
    354.45x = 111,750.09
  5. Step 5: Solve for x
    x = 111,750.09/354.45
  6. Step 6: Final answer
    x = 315.28

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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.