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Finding the Fourth Proportional to 335.45, 505.04 and 306.77

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Solution

The fourth proportional to 335.45, 505.04 and 306.77 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.45 : 505.04 = 306.77 : x
  2. Step 2: Convert to fraction form
    335.45/505.04 = 306.77/x
  3. Step 3: Cross multiply
    335.45x = 505.04 × 306.77
  4. Step 4: Simplify right side
    335.45x = 154,927.06
  5. Step 5: Solve for x
    x = 154,927.06/335.45
  6. Step 6: Final answer
    x = 461.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.