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Finding the Fourth Proportional to 298.26, 446.40 and 260.22

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Solution

The fourth proportional to 298.26, 446.40 and 260.22 is: 389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.26 : 446.40 = 260.22 : x
  2. Step 2: Convert to fraction form
    298.26/446.40 = 260.22/x
  3. Step 3: Cross multiply
    298.26x = 446.40 × 260.22
  4. Step 4: Simplify right side
    298.26x = 116,162.21
  5. Step 5: Solve for x
    x = 116,162.21/298.26
  6. Step 6: Final answer
    x = 389.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.