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Finding the Fourth Proportional to 407.37, 611.06 and 263.19

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Solution

The fourth proportional to 407.37, 611.06 and 263.19 is: 394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.37 : 611.06 = 263.19 : x
  2. Step 2: Convert to fraction form
    407.37/611.06 = 263.19/x
  3. Step 3: Cross multiply
    407.37x = 611.06 × 263.19
  4. Step 4: Simplify right side
    407.37x = 160,824.88
  5. Step 5: Solve for x
    x = 160,824.88/407.37
  6. Step 6: Final answer
    x = 394.79

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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.