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Finding the Fourth Proportional to 338.34, 466.92 and 280.02

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Solution

The fourth proportional to 338.34, 466.92 and 280.02 is: 386.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.34 : 466.92 = 280.02 : x
  2. Step 2: Convert to fraction form
    338.34/466.92 = 280.02/x
  3. Step 3: Cross multiply
    338.34x = 466.92 × 280.02
  4. Step 4: Simplify right side
    338.34x = 130,746.94
  5. Step 5: Solve for x
    x = 130,746.94/338.34
  6. Step 6: Final answer
    x = 386.44

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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.