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Finding the Fourth Proportional to 427.02, 589.28 and 280.05

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Solution

The fourth proportional to 427.02, 589.28 and 280.05 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.02 : 589.28 = 280.05 : x
  2. Step 2: Convert to fraction form
    427.02/589.28 = 280.05/x
  3. Step 3: Cross multiply
    427.02x = 589.28 × 280.05
  4. Step 4: Simplify right side
    427.02x = 165,027.86
  5. Step 5: Solve for x
    x = 165,027.86/427.02
  6. Step 6: Final answer
    x = 386.46

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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.