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Finding the Fourth Proportional to 390.21, 538.44 and 232.83

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Solution

The fourth proportional to 390.21, 538.44 and 232.83 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.21 : 538.44 = 232.83 : x
  2. Step 2: Convert to fraction form
    390.21/538.44 = 232.83/x
  3. Step 3: Cross multiply
    390.21x = 538.44 × 232.83
  4. Step 4: Simplify right side
    390.21x = 125,364.99
  5. Step 5: Solve for x
    x = 125,364.99/390.21
  6. Step 6: Final answer
    x = 321.28

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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.