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Finding the Fourth Proportional to 414.30, 621.58 and 171.02

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Solution

The fourth proportional to 414.30, 621.58 and 171.02 is: 256.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.30 : 621.58 = 171.02 : x
  2. Step 2: Convert to fraction form
    414.30/621.58 = 171.02/x
  3. Step 3: Cross multiply
    414.30x = 621.58 × 171.02
  4. Step 4: Simplify right side
    414.30x = 106,302.61
  5. Step 5: Solve for x
    x = 106,302.61/414.30
  6. Step 6: Final answer
    x = 256.58

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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.