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Finding the Fourth Proportional to 338.82, 506.46 and 293.06

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Solution

The fourth proportional to 338.82, 506.46 and 293.06 is: 438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.82 : 506.46 = 293.06 : x
  2. Step 2: Convert to fraction form
    338.82/506.46 = 293.06/x
  3. Step 3: Cross multiply
    338.82x = 506.46 × 293.06
  4. Step 4: Simplify right side
    338.82x = 148,420.64
  5. Step 5: Solve for x
    x = 148,420.64/338.82
  6. Step 6: Final answer
    x = 438.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.