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Finding the Fourth Proportional to 397.09, 595.42 and 123.07

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Solution

The fourth proportional to 397.09, 595.42 and 123.07 is: 184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.09 : 595.42 = 123.07 : x
  2. Step 2: Convert to fraction form
    397.09/595.42 = 123.07/x
  3. Step 3: Cross multiply
    397.09x = 595.42 × 123.07
  4. Step 4: Simplify right side
    397.09x = 73,277.66
  5. Step 5: Solve for x
    x = 73,277.66/397.09
  6. Step 6: Final answer
    x = 184.54

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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.