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Finding the Fourth Proportional to 357.21, 492.62 and 232.82

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Solution

The fourth proportional to 357.21, 492.62 and 232.82 is: 321.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.21 : 492.62 = 232.82 : x
  2. Step 2: Convert to fraction form
    357.21/492.62 = 232.82/x
  3. Step 3: Cross multiply
    357.21x = 492.62 × 232.82
  4. Step 4: Simplify right side
    357.21x = 114,690.62
  5. Step 5: Solve for x
    x = 114,690.62/357.21
  6. Step 6: Final answer
    x = 321.08

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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.