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Finding the Fourth Proportional to 298.40, 410.96 and 229.28

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Solution

The fourth proportional to 298.40, 410.96 and 229.28 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.40 : 410.96 = 229.28 : x
  2. Step 2: Convert to fraction form
    298.40/410.96 = 229.28/x
  3. Step 3: Cross multiply
    298.40x = 410.96 × 229.28
  4. Step 4: Simplify right side
    298.40x = 94,224.91
  5. Step 5: Solve for x
    x = 94,224.91/298.40
  6. Step 6: Final answer
    x = 315.77

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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.