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Finding the Fourth Proportional to 397.23, 595.85 and 123.32

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Solution

The fourth proportional to 397.23, 595.85 and 123.32 is: 184.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.23 : 595.85 = 123.32 : x
  2. Step 2: Convert to fraction form
    397.23/595.85 = 123.32/x
  3. Step 3: Cross multiply
    397.23x = 595.85 × 123.32
  4. Step 4: Simplify right side
    397.23x = 73,476.63
  5. Step 5: Solve for x
    x = 73,476.63/397.23
  6. Step 6: Final answer
    x = 184.97

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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.