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Finding the Fourth Proportional to 414.63, 621.95 and 170.89

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Solution

The fourth proportional to 414.63, 621.95 and 170.89 is: 256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 621.95 = 170.89 : x
  2. Step 2: Convert to fraction form
    414.63/621.95 = 170.89/x
  3. Step 3: Cross multiply
    414.63x = 621.95 × 170.89
  4. Step 4: Simplify right side
    414.63x = 106,285.92
  5. Step 5: Solve for x
    x = 106,285.92/414.63
  6. Step 6: Final answer
    x = 256.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.