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Finding the Fourth Proportional to 338.61, 467.63 and 282.80

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Solution

The fourth proportional to 338.61, 467.63 and 282.80 is: 390.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.63 = 282.80 : x
  2. Step 2: Convert to fraction form
    338.61/467.63 = 282.80/x
  3. Step 3: Cross multiply
    338.61x = 467.63 × 282.80
  4. Step 4: Simplify right side
    338.61x = 132,242.01
  5. Step 5: Solve for x
    x = 132,242.01/338.61
  6. Step 6: Final answer
    x = 390.54

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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.