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Finding the Fourth Proportional to 412.34, 618.61 and 123.77

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Solution

The fourth proportional to 412.34, 618.61 and 123.77 is: 185.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 618.61 = 123.77 : x
  2. Step 2: Convert to fraction form
    412.34/618.61 = 123.77/x
  3. Step 3: Cross multiply
    412.34x = 618.61 × 123.77
  4. Step 4: Simplify right side
    412.34x = 76,561.96
  5. Step 5: Solve for x
    x = 76,561.96/412.34
  6. Step 6: Final answer
    x = 185.68

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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.