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Finding the Fourth Proportional to 427.09, 589.40 and 250.16

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Solution

The fourth proportional to 427.09, 589.40 and 250.16 is: 345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.09 : 589.40 = 250.16 : x
  2. Step 2: Convert to fraction form
    427.09/589.40 = 250.16/x
  3. Step 3: Cross multiply
    427.09x = 589.40 × 250.16
  4. Step 4: Simplify right side
    427.09x = 147,446.72
  5. Step 5: Solve for x
    x = 147,446.72/427.09
  6. Step 6: Final answer
    x = 345.24

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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.