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Finding the Fourth Proportional to 298.32, 411.56 and 205.08

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Solution

The fourth proportional to 298.32, 411.56 and 205.08 is: 282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.32 : 411.56 = 205.08 : x
  2. Step 2: Convert to fraction form
    298.32/411.56 = 205.08/x
  3. Step 3: Cross multiply
    298.32x = 411.56 × 205.08
  4. Step 4: Simplify right side
    298.32x = 84,402.72
  5. Step 5: Solve for x
    x = 84,402.72/298.32
  6. Step 6: Final answer
    x = 282.93

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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.