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Finding the Fourth Proportional to 305.78, 421.14 and 264.32

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Solution

The fourth proportional to 305.78, 421.14 and 264.32 is: 364.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.78 : 421.14 = 264.32 : x
  2. Step 2: Convert to fraction form
    305.78/421.14 = 264.32/x
  3. Step 3: Cross multiply
    305.78x = 421.14 × 264.32
  4. Step 4: Simplify right side
    305.78x = 111,313.62
  5. Step 5: Solve for x
    x = 111,313.62/305.78
  6. Step 6: Final answer
    x = 364.04

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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.