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Finding the Fourth Proportional to 414.55, 621.69 and 171.06

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Solution

The fourth proportional to 414.55, 621.69 and 171.06 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.55 : 621.69 = 171.06 : x
  2. Step 2: Convert to fraction form
    414.55/621.69 = 171.06/x
  3. Step 3: Cross multiply
    414.55x = 621.69 × 171.06
  4. Step 4: Simplify right side
    414.55x = 106,346.29
  5. Step 5: Solve for x
    x = 106,346.29/414.55
  6. Step 6: Final answer
    x = 256.53

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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.