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Finding the Fourth Proportional to 394.96, 538.24 and 393.52

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Solution

The fourth proportional to 394.96, 538.24 and 393.52 is: 536.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.96 : 538.24 = 393.52 : x
  2. Step 2: Convert to fraction form
    394.96/538.24 = 393.52/x
  3. Step 3: Cross multiply
    394.96x = 538.24 × 393.52
  4. Step 4: Simplify right side
    394.96x = 211,808.20
  5. Step 5: Solve for x
    x = 211,808.20/394.96
  6. Step 6: Final answer
    x = 536.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.