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Finding the Fourth Proportional to 427.74, 642.69 and 414.78

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Solution

The fourth proportional to 427.74, 642.69 and 414.78 is: 623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.74 : 642.69 = 414.78 : x
  2. Step 2: Convert to fraction form
    427.74/642.69 = 414.78/x
  3. Step 3: Cross multiply
    427.74x = 642.69 × 414.78
  4. Step 4: Simplify right side
    427.74x = 266,574.96
  5. Step 5: Solve for x
    x = 266,574.96/427.74
  6. Step 6: Final answer
    x = 623.22

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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.