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Finding the Fourth Proportional to 405.28, 607.41 and 232.09

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Solution

The fourth proportional to 405.28, 607.41 and 232.09 is: 347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.28 : 607.41 = 232.09 : x
  2. Step 2: Convert to fraction form
    405.28/607.41 = 232.09/x
  3. Step 3: Cross multiply
    405.28x = 607.41 × 232.09
  4. Step 4: Simplify right side
    405.28x = 140,973.79
  5. Step 5: Solve for x
    x = 140,973.79/405.28
  6. Step 6: Final answer
    x = 347.84

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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.