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Finding the Fourth Proportional to 431.39, 647.04 and 123.26

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Solution

The fourth proportional to 431.39, 647.04 and 123.26 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.39 : 647.04 = 123.26 : x
  2. Step 2: Convert to fraction form
    431.39/647.04 = 123.26/x
  3. Step 3: Cross multiply
    431.39x = 647.04 × 123.26
  4. Step 4: Simplify right side
    431.39x = 79,754.15
  5. Step 5: Solve for x
    x = 79,754.15/431.39
  6. Step 6: Final answer
    x = 184.88

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