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Finding the Fourth Proportional to 427.31, 589.46 and 285.76

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Solution

The fourth proportional to 427.31, 589.46 and 285.76 is: 394.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.31 : 589.46 = 285.76 : x
  2. Step 2: Convert to fraction form
    427.31/589.46 = 285.76/x
  3. Step 3: Cross multiply
    427.31x = 589.46 × 285.76
  4. Step 4: Simplify right side
    427.31x = 168,444.85
  5. Step 5: Solve for x
    x = 168,444.85/427.31
  6. Step 6: Final answer
    x = 394.20

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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.