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Finding the Fourth Proportional to 428.36, 642.53 and 382.93

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Solution

The fourth proportional to 428.36, 642.53 and 382.93 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.36 : 642.53 = 382.93 : x
  2. Step 2: Convert to fraction form
    428.36/642.53 = 382.93/x
  3. Step 3: Cross multiply
    428.36x = 642.53 × 382.93
  4. Step 4: Simplify right side
    428.36x = 246,043.36
  5. Step 5: Solve for x
    x = 246,043.36/428.36
  6. Step 6: Final answer
    x = 574.39

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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.