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Finding the Fourth Proportional to 428.49, 643.05 and 274.59

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Solution

The fourth proportional to 428.49, 643.05 and 274.59 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.49 : 643.05 = 274.59 : x
  2. Step 2: Convert to fraction form
    428.49/643.05 = 274.59/x
  3. Step 3: Cross multiply
    428.49x = 643.05 × 274.59
  4. Step 4: Simplify right side
    428.49x = 176,575.10
  5. Step 5: Solve for x
    x = 176,575.10/428.49
  6. Step 6: Final answer
    x = 412.09

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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.