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Finding the Fourth Proportional to 427.67, 589.61 and 309.81

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Solution

The fourth proportional to 427.67, 589.61 and 309.81 is: 427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.67 : 589.61 = 309.81 : x
  2. Step 2: Convert to fraction form
    427.67/589.61 = 309.81/x
  3. Step 3: Cross multiply
    427.67x = 589.61 × 309.81
  4. Step 4: Simplify right side
    427.67x = 182,665.53
  5. Step 5: Solve for x
    x = 182,665.53/427.67
  6. Step 6: Final answer
    x = 427.12

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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.