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Finding the Fourth Proportional to 427.94, 642.04 and 154.07

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Solution

The fourth proportional to 427.94, 642.04 and 154.07 is: 231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.94 : 642.04 = 154.07 : x
  2. Step 2: Convert to fraction form
    427.94/642.04 = 154.07/x
  3. Step 3: Cross multiply
    427.94x = 642.04 × 154.07
  4. Step 4: Simplify right side
    427.94x = 98,915.51
  5. Step 5: Solve for x
    x = 98,915.51/427.94
  6. Step 6: Final answer
    x = 231.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.