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Finding the Fourth Proportional to 427.21, 637.09 and 404.17

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Solution

The fourth proportional to 427.21, 637.09 and 404.17 is: 602.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.21 : 637.09 = 404.17 : x
  2. Step 2: Convert to fraction form
    427.21/637.09 = 404.17/x
  3. Step 3: Cross multiply
    427.21x = 637.09 × 404.17
  4. Step 4: Simplify right side
    427.21x = 257,490.06
  5. Step 5: Solve for x
    x = 257,490.06/427.21
  6. Step 6: Final answer
    x = 602.73

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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.