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Finding the Fourth Proportional to 298.64, 411.92 and 210.31

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Solution

The fourth proportional to 298.64, 411.92 and 210.31 is: 290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.64 : 411.92 = 210.31 : x
  2. Step 2: Convert to fraction form
    298.64/411.92 = 210.31/x
  3. Step 3: Cross multiply
    298.64x = 411.92 × 210.31
  4. Step 4: Simplify right side
    298.64x = 86,627.78
  5. Step 5: Solve for x
    x = 86,627.78/298.64
  6. Step 6: Final answer
    x = 290.07

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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.