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Finding the Fourth Proportional to 298.19, 444.95 and 296.49

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Solution

The fourth proportional to 298.19, 444.95 and 296.49 is: 442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.19 : 444.95 = 296.49 : x
  2. Step 2: Convert to fraction form
    298.19/444.95 = 296.49/x
  3. Step 3: Cross multiply
    298.19x = 444.95 × 296.49
  4. Step 4: Simplify right side
    298.19x = 131,923.23
  5. Step 5: Solve for x
    x = 131,923.23/298.19
  6. Step 6: Final answer
    x = 442.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.