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Finding the Fourth Proportional to 414.17, 623.72 and 360.71

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Solution

The fourth proportional to 414.17, 623.72 and 360.71 is: 543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.17 : 623.72 = 360.71 : x
  2. Step 2: Convert to fraction form
    414.17/623.72 = 360.71/x
  3. Step 3: Cross multiply
    414.17x = 623.72 × 360.71
  4. Step 4: Simplify right side
    414.17x = 224,982.04
  5. Step 5: Solve for x
    x = 224,982.04/414.17
  6. Step 6: Final answer
    x = 543.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.