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Finding the Fourth Proportional to 388.85, 536.62 and 214.20

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Solution

The fourth proportional to 388.85, 536.62 and 214.20 is: 295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.85 : 536.62 = 214.20 : x
  2. Step 2: Convert to fraction form
    388.85/536.62 = 214.20/x
  3. Step 3: Cross multiply
    388.85x = 536.62 × 214.20
  4. Step 4: Simplify right side
    388.85x = 114,943.47
  5. Step 5: Solve for x
    x = 114,943.47/388.85
  6. Step 6: Final answer
    x = 295.60

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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.