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Finding the Fourth Proportional to 469.51, 704.22 and 122.83

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Solution

The fourth proportional to 469.51, 704.22 and 122.83 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.51 : 704.22 = 122.83 : x
  2. Step 2: Convert to fraction form
    469.51/704.22 = 122.83/x
  3. Step 3: Cross multiply
    469.51x = 704.22 × 122.83
  4. Step 4: Simplify right side
    469.51x = 86,499.34
  5. Step 5: Solve for x
    x = 86,499.34/469.51
  6. Step 6: Final answer
    x = 184.23

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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.