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Finding the Fourth Proportional to 407.65, 610.44 and 326.65

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Solution

The fourth proportional to 407.65, 610.44 and 326.65 is: 489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.65 : 610.44 = 326.65 : x
  2. Step 2: Convert to fraction form
    407.65/610.44 = 326.65/x
  3. Step 3: Cross multiply
    407.65x = 610.44 × 326.65
  4. Step 4: Simplify right side
    407.65x = 199,400.23
  5. Step 5: Solve for x
    x = 199,400.23/407.65
  6. Step 6: Final answer
    x = 489.15

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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.