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Finding the Fourth Proportional to 319.06, 480.98 and 298.18

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Solution

The fourth proportional to 319.06, 480.98 and 298.18 is: 449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.06 : 480.98 = 298.18 : x
  2. Step 2: Convert to fraction form
    319.06/480.98 = 298.18/x
  3. Step 3: Cross multiply
    319.06x = 480.98 × 298.18
  4. Step 4: Simplify right side
    319.06x = 143,418.62
  5. Step 5: Solve for x
    x = 143,418.62/319.06
  6. Step 6: Final answer
    x = 449.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.