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Finding the Fourth Proportional to 338.70, 466.46 and 260.94

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Solution

The fourth proportional to 338.70, 466.46 and 260.94 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 466.46 = 260.94 : x
  2. Step 2: Convert to fraction form
    338.70/466.46 = 260.94/x
  3. Step 3: Cross multiply
    338.70x = 466.46 × 260.94
  4. Step 4: Simplify right side
    338.70x = 121,718.07
  5. Step 5: Solve for x
    x = 121,718.07/338.70
  6. Step 6: Final answer
    x = 359.37

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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.