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Finding the Fourth Proportional to 427.63, 637.07 and 406.99

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Solution

The fourth proportional to 427.63, 637.07 and 406.99 is: 606.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.63 : 637.07 = 406.99 : x
  2. Step 2: Convert to fraction form
    427.63/637.07 = 406.99/x
  3. Step 3: Cross multiply
    427.63x = 637.07 × 406.99
  4. Step 4: Simplify right side
    427.63x = 259,281.12
  5. Step 5: Solve for x
    x = 259,281.12/427.63
  6. Step 6: Final answer
    x = 606.32

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