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Finding the Fourth Proportional to 338.83, 467.28 and 264.16

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Solution

The fourth proportional to 338.83, 467.28 and 264.16 is: 364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.83 : 467.28 = 264.16 : x
  2. Step 2: Convert to fraction form
    338.83/467.28 = 264.16/x
  3. Step 3: Cross multiply
    338.83x = 467.28 × 264.16
  4. Step 4: Simplify right side
    338.83x = 123,435.52
  5. Step 5: Solve for x
    x = 123,435.52/338.83
  6. Step 6: Final answer
    x = 364.30

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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.