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Finding the Fourth Proportional to 321.18, 442.94 and 258.99

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Solution

The fourth proportional to 321.18, 442.94 and 258.99 is: 357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.18 : 442.94 = 258.99 : x
  2. Step 2: Convert to fraction form
    321.18/442.94 = 258.99/x
  3. Step 3: Cross multiply
    321.18x = 442.94 × 258.99
  4. Step 4: Simplify right side
    321.18x = 114,717.03
  5. Step 5: Solve for x
    x = 114,717.03/321.18
  6. Step 6: Final answer
    x = 357.17

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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.