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Finding the Fourth Proportional to 456.84, 685.37 and 225.63

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Solution

The fourth proportional to 456.84, 685.37 and 225.63 is: 338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.37 = 225.63 : x
  2. Step 2: Convert to fraction form
    456.84/685.37 = 225.63/x
  3. Step 3: Cross multiply
    456.84x = 685.37 × 225.63
  4. Step 4: Simplify right side
    456.84x = 154,638.90
  5. Step 5: Solve for x
    x = 154,638.90/456.84
  6. Step 6: Final answer
    x = 338.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.