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Finding the Fourth Proportional to 405.84, 604.56 and 381.04

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Solution

The fourth proportional to 405.84, 604.56 and 381.04 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.84 : 604.56 = 381.04 : x
  2. Step 2: Convert to fraction form
    405.84/604.56 = 381.04/x
  3. Step 3: Cross multiply
    405.84x = 604.56 × 381.04
  4. Step 4: Simplify right side
    405.84x = 230,361.54
  5. Step 5: Solve for x
    x = 230,361.54/405.84
  6. Step 6: Final answer
    x = 567.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.