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Finding the Fourth Proportional to 306.11, 421.57 and 278.77

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Solution

The fourth proportional to 306.11, 421.57 and 278.77 is: 383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.11 : 421.57 = 278.77 : x
  2. Step 2: Convert to fraction form
    306.11/421.57 = 278.77/x
  3. Step 3: Cross multiply
    306.11x = 421.57 × 278.77
  4. Step 4: Simplify right side
    306.11x = 117,521.07
  5. Step 5: Solve for x
    x = 117,521.07/306.11
  6. Step 6: Final answer
    x = 383.92

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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.