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Finding the Fourth Proportional to 469.49, 704.33 and 225.87

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Solution

The fourth proportional to 469.49, 704.33 and 225.87 is: 338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.49 : 704.33 = 225.87 : x
  2. Step 2: Convert to fraction form
    469.49/704.33 = 225.87/x
  3. Step 3: Cross multiply
    469.49x = 704.33 × 225.87
  4. Step 4: Simplify right side
    469.49x = 159,085.89
  5. Step 5: Solve for x
    x = 159,085.89/469.49
  6. Step 6: Final answer
    x = 338.85

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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.