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Finding the Fourth Proportional to 298.99, 412.84 and 233.38

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Solution

The fourth proportional to 298.99, 412.84 and 233.38 is: 322.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.99 : 412.84 = 233.38 : x
  2. Step 2: Convert to fraction form
    298.99/412.84 = 233.38/x
  3. Step 3: Cross multiply
    298.99x = 412.84 × 233.38
  4. Step 4: Simplify right side
    298.99x = 96,348.60
  5. Step 5: Solve for x
    x = 96,348.60/298.99
  6. Step 6: Final answer
    x = 322.25

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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.