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Finding the Fourth Proportional to 923.64, 1,385.43 and 239.64

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Solution

The fourth proportional to 923.64, 1,385.43 and 239.64 is: 359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.64 : 1,385.43 = 239.64 : x
  2. Step 2: Convert to fraction form
    923.64/1,385.43 = 239.64/x
  3. Step 3: Cross multiply
    923.64x = 1,385.43 × 239.64
  4. Step 4: Simplify right side
    923.64x = 332,004.45
  5. Step 5: Solve for x
    x = 332,004.45/923.64
  6. Step 6: Final answer
    x = 359.45

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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.