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Finding the Fourth Proportional to 407.93, 611.89 and 185.58

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Solution

The fourth proportional to 407.93, 611.89 and 185.58 is: 278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.93 : 611.89 = 185.58 : x
  2. Step 2: Convert to fraction form
    407.93/611.89 = 185.58/x
  3. Step 3: Cross multiply
    407.93x = 611.89 × 185.58
  4. Step 4: Simplify right side
    407.93x = 113,557.07
  5. Step 5: Solve for x
    x = 113,557.07/407.93
  6. Step 6: Final answer
    x = 278.37

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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.