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Finding the Fourth Proportional to 427.32, 589.32 and 294.84

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Solution

The fourth proportional to 427.32, 589.32 and 294.84 is: 406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.32 : 589.32 = 294.84 : x
  2. Step 2: Convert to fraction form
    427.32/589.32 = 294.84/x
  3. Step 3: Cross multiply
    427.32x = 589.32 × 294.84
  4. Step 4: Simplify right side
    427.32x = 173,755.11
  5. Step 5: Solve for x
    x = 173,755.11/427.32
  6. Step 6: Final answer
    x = 406.62

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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.