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Finding the Fourth Proportional to 353.22, 486.99 and 304.62

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Solution

The fourth proportional to 353.22, 486.99 and 304.62 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.22 : 486.99 = 304.62 : x
  2. Step 2: Convert to fraction form
    353.22/486.99 = 304.62/x
  3. Step 3: Cross multiply
    353.22x = 486.99 × 304.62
  4. Step 4: Simplify right side
    353.22x = 148,346.89
  5. Step 5: Solve for x
    x = 148,346.89/353.22
  6. Step 6: Final answer
    x = 419.98

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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.