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Finding the Fourth Proportional to 407.70, 610.74 and 366.73

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Solution

The fourth proportional to 407.70, 610.74 and 366.73 is: 549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 610.74 = 366.73 : x
  2. Step 2: Convert to fraction form
    407.70/610.74 = 366.73/x
  3. Step 3: Cross multiply
    407.70x = 610.74 × 366.73
  4. Step 4: Simplify right side
    407.70x = 223,975.15
  5. Step 5: Solve for x
    x = 223,975.15/407.70
  6. Step 6: Final answer
    x = 549.36

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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.