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Finding the Fourth Proportional to 298.94, 412.46 and 229.06

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Solution

The fourth proportional to 298.94, 412.46 and 229.06 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.94 : 412.46 = 229.06 : x
  2. Step 2: Convert to fraction form
    298.94/412.46 = 229.06/x
  3. Step 3: Cross multiply
    298.94x = 412.46 × 229.06
  4. Step 4: Simplify right side
    298.94x = 94,478.09
  5. Step 5: Solve for x
    x = 94,478.09/298.94
  6. Step 6: Final answer
    x = 316.04

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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.