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Finding the Fourth Proportional to 423.82, 635.58 and 192.51

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Solution

The fourth proportional to 423.82, 635.58 and 192.51 is: 288.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.82 : 635.58 = 192.51 : x
  2. Step 2: Convert to fraction form
    423.82/635.58 = 192.51/x
  3. Step 3: Cross multiply
    423.82x = 635.58 × 192.51
  4. Step 4: Simplify right side
    423.82x = 122,355.51
  5. Step 5: Solve for x
    x = 122,355.51/423.82
  6. Step 6: Final answer
    x = 288.70

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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.