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Finding the Fourth Proportional to 427.01, 589.14 and 261.23

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Solution

The fourth proportional to 427.01, 589.14 and 261.23 is: 360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.01 : 589.14 = 261.23 : x
  2. Step 2: Convert to fraction form
    427.01/589.14 = 261.23/x
  3. Step 3: Cross multiply
    427.01x = 589.14 × 261.23
  4. Step 4: Simplify right side
    427.01x = 153,898.10
  5. Step 5: Solve for x
    x = 153,898.10/427.01
  6. Step 6: Final answer
    x = 360.41

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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.