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Finding the Fourth Proportional to 414.53, 621.96 and 171.00

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Solution

The fourth proportional to 414.53, 621.96 and 171.00 is: 256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.53 : 621.96 = 171.00 : x
  2. Step 2: Convert to fraction form
    414.53/621.96 = 171.00/x
  3. Step 3: Cross multiply
    414.53x = 621.96 × 171.00
  4. Step 4: Simplify right side
    414.53x = 106,356.38
  5. Step 5: Solve for x
    x = 106,356.38/414.53
  6. Step 6: Final answer
    x = 256.57

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Why These Related Problems?

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