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Finding the Fourth Proportional to 338.24, 466.35 and 282.25

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Solution

The fourth proportional to 338.24, 466.35 and 282.25 is: 389.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 466.35 = 282.25 : x
  2. Step 2: Convert to fraction form
    338.24/466.35 = 282.25/x
  3. Step 3: Cross multiply
    338.24x = 466.35 × 282.25
  4. Step 4: Simplify right side
    338.24x = 131,627.29
  5. Step 5: Solve for x
    x = 131,627.29/338.24
  6. Step 6: Final answer
    x = 389.15

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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.