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Finding the Fourth Proportional to 397.84, 596.54 and 123.82

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Solution

The fourth proportional to 397.84, 596.54 and 123.82 is: 185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 596.54 = 123.82 : x
  2. Step 2: Convert to fraction form
    397.84/596.54 = 123.82/x
  3. Step 3: Cross multiply
    397.84x = 596.54 × 123.82
  4. Step 4: Simplify right side
    397.84x = 73,862.40
  5. Step 5: Solve for x
    x = 73,862.40/397.84
  6. Step 6: Final answer
    x = 185.66

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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.