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Finding the Fourth Proportional to 427.82, 590.29 and 262.02

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Solution

The fourth proportional to 427.82, 590.29 and 262.02 is: 361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.82 : 590.29 = 262.02 : x
  2. Step 2: Convert to fraction form
    427.82/590.29 = 262.02/x
  3. Step 3: Cross multiply
    427.82x = 590.29 × 262.02
  4. Step 4: Simplify right side
    427.82x = 154,667.79
  5. Step 5: Solve for x
    x = 154,667.79/427.82
  6. Step 6: Final answer
    x = 361.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.