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Finding the Fourth Proportional to 427.32, 589.59 and 252.59

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Solution

The fourth proportional to 427.32, 589.59 and 252.59 is: 348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 589.59 = 252.59 : x
  2. Step 2: Convert to fraction form
    427.32/589.59 = 252.59/x
  3. Step 3: Cross multiply
    427.32x = 589.59 × 252.59
  4. Step 4: Simplify right side
    427.32x = 148,921.59
  5. Step 5: Solve for x
    x = 148,921.59/427.32
  6. Step 6: Final answer
    x = 348.50

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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.