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Finding the Fourth Proportional to 427.46, 589.98 and 252.86

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Solution

The fourth proportional to 427.46, 589.98 and 252.86 is: 349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.46 : 589.98 = 252.86 : x
  2. Step 2: Convert to fraction form
    427.46/589.98 = 252.86/x
  3. Step 3: Cross multiply
    427.46x = 589.98 × 252.86
  4. Step 4: Simplify right side
    427.46x = 149,182.34
  5. Step 5: Solve for x
    x = 149,182.34/427.46
  6. Step 6: Final answer
    x = 349.00

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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.