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Finding the Fourth Proportional to 407.90, 612.15 and 327.71

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Solution

The fourth proportional to 407.90, 612.15 and 327.71 is: 491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.90 : 612.15 = 327.71 : x
  2. Step 2: Convert to fraction form
    407.90/612.15 = 327.71/x
  3. Step 3: Cross multiply
    407.90x = 612.15 × 327.71
  4. Step 4: Simplify right side
    407.90x = 200,607.68
  5. Step 5: Solve for x
    x = 200,607.68/407.90
  6. Step 6: Final answer
    x = 491.81

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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.