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Finding the Fourth Proportional to 405.73, 608.49 and 289.21

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Solution

The fourth proportional to 405.73, 608.49 and 289.21 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.73 : 608.49 = 289.21 : x
  2. Step 2: Convert to fraction form
    405.73/608.49 = 289.21/x
  3. Step 3: Cross multiply
    405.73x = 608.49 × 289.21
  4. Step 4: Simplify right side
    405.73x = 175,979.34
  5. Step 5: Solve for x
    x = 175,979.34/405.73
  6. Step 6: Final answer
    x = 433.73

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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.