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Finding the Fourth Proportional to 305.38, 455.17 and 287.63

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Solution

The fourth proportional to 305.38, 455.17 and 287.63 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.38 : 455.17 = 287.63 : x
  2. Step 2: Convert to fraction form
    305.38/455.17 = 287.63/x
  3. Step 3: Cross multiply
    305.38x = 455.17 × 287.63
  4. Step 4: Simplify right side
    305.38x = 130,916.83
  5. Step 5: Solve for x
    x = 130,916.83/305.38
  6. Step 6: Final answer
    x = 428.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.