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Finding the Fourth Proportional to 279.52, 384.80 and 235.84

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Solution

The fourth proportional to 279.52, 384.80 and 235.84 is: 324.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.52 : 384.80 = 235.84 : x
  2. Step 2: Convert to fraction form
    279.52/384.80 = 235.84/x
  3. Step 3: Cross multiply
    279.52x = 384.80 × 235.84
  4. Step 4: Simplify right side
    279.52x = 90,751.23
  5. Step 5: Solve for x
    x = 90,751.23/279.52
  6. Step 6: Final answer
    x = 324.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.