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Finding the Fourth Proportional to 428.78, 643.92 and 361.19

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Solution

The fourth proportional to 428.78, 643.92 and 361.19 is: 542.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.78 : 643.92 = 361.19 : x
  2. Step 2: Convert to fraction form
    428.78/643.92 = 361.19/x
  3. Step 3: Cross multiply
    428.78x = 643.92 × 361.19
  4. Step 4: Simplify right side
    428.78x = 232,574.25
  5. Step 5: Solve for x
    x = 232,574.25/428.78
  6. Step 6: Final answer
    x = 542.42

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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.