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Finding the Fourth Proportional to 388.94, 536.72 and 214.26

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Solution

The fourth proportional to 388.94, 536.72 and 214.26 is: 295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 536.72 = 214.26 : x
  2. Step 2: Convert to fraction form
    388.94/536.72 = 214.26/x
  3. Step 3: Cross multiply
    388.94x = 536.72 × 214.26
  4. Step 4: Simplify right side
    388.94x = 114,996.56
  5. Step 5: Solve for x
    x = 114,996.56/388.94
  6. Step 6: Final answer
    x = 295.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.