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Finding the Fourth Proportional to 427.14, 637.20 and 416.34

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Solution

The fourth proportional to 427.14, 637.20 and 416.34 is: 621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.14 : 637.20 = 416.34 : x
  2. Step 2: Convert to fraction form
    427.14/637.20 = 416.34/x
  3. Step 3: Cross multiply
    427.14x = 637.20 × 416.34
  4. Step 4: Simplify right side
    427.14x = 265,291.85
  5. Step 5: Solve for x
    x = 265,291.85/427.14
  6. Step 6: Final answer
    x = 621.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.