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Finding the Fourth Proportional to 388.41, 536.03 and 213.76

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Solution

The fourth proportional to 388.41, 536.03 and 213.76 is: 295.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.41 : 536.03 = 213.76 : x
  2. Step 2: Convert to fraction form
    388.41/536.03 = 213.76/x
  3. Step 3: Cross multiply
    388.41x = 536.03 × 213.76
  4. Step 4: Simplify right side
    388.41x = 114,581.77
  5. Step 5: Solve for x
    x = 114,581.77/388.41
  6. Step 6: Final answer
    x = 295.00

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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.