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Finding the Fourth Proportional to 427.06, 589.27 and 252.46

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Solution

The fourth proportional to 427.06, 589.27 and 252.46 is: 348.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.06 : 589.27 = 252.46 : x
  2. Step 2: Convert to fraction form
    427.06/589.27 = 252.46/x
  3. Step 3: Cross multiply
    427.06x = 589.27 × 252.46
  4. Step 4: Simplify right side
    427.06x = 148,767.10
  5. Step 5: Solve for x
    x = 148,767.10/427.06
  6. Step 6: Final answer
    x = 348.35

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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.