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Finding the Fourth Proportional to 414.52, 623.04 and 361.06

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Solution

The fourth proportional to 414.52, 623.04 and 361.06 is: 542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.52 : 623.04 = 361.06 : x
  2. Step 2: Convert to fraction form
    414.52/623.04 = 361.06/x
  3. Step 3: Cross multiply
    414.52x = 623.04 × 361.06
  4. Step 4: Simplify right side
    414.52x = 224,954.82
  5. Step 5: Solve for x
    x = 224,954.82/414.52
  6. Step 6: Final answer
    x = 542.69

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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.