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Finding the Fourth Proportional to 335.23, 504.70 and 262.50

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Solution

The fourth proportional to 335.23, 504.70 and 262.50 is: 395.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.23 : 504.70 = 262.50 : x
  2. Step 2: Convert to fraction form
    335.23/504.70 = 262.50/x
  3. Step 3: Cross multiply
    335.23x = 504.70 × 262.50
  4. Step 4: Simplify right side
    335.23x = 132,481.23
  5. Step 5: Solve for x
    x = 132,481.23/335.23
  6. Step 6: Final answer
    x = 395.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.