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Finding the Fourth Proportional to 405.52, 607.02 and 327.84

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Solution

The fourth proportional to 405.52, 607.02 and 327.84 is: 490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.52 : 607.02 = 327.84 : x
  2. Step 2: Convert to fraction form
    405.52/607.02 = 327.84/x
  3. Step 3: Cross multiply
    405.52x = 607.02 × 327.84
  4. Step 4: Simplify right side
    405.52x = 199,003.22
  5. Step 5: Solve for x
    x = 199,003.22/405.52
  6. Step 6: Final answer
    x = 490.74

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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.