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Finding the Fourth Proportional to 427.50, 589.16 and 334.10

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Solution

The fourth proportional to 427.50, 589.16 and 334.10 is: 460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.50 : 589.16 = 334.10 : x
  2. Step 2: Convert to fraction form
    427.50/589.16 = 334.10/x
  3. Step 3: Cross multiply
    427.50x = 589.16 × 334.10
  4. Step 4: Simplify right side
    427.50x = 196,837.13
  5. Step 5: Solve for x
    x = 196,837.13/427.50
  6. Step 6: Final answer
    x = 460.43

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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.