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Finding the Fourth Proportional to 923.75, 1,385.79 and 376.32

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Solution

The fourth proportional to 923.75, 1,385.79 and 376.32 is: 564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.75 : 1,385.79 = 376.32 : x
  2. Step 2: Convert to fraction form
    923.75/1,385.79 = 376.32/x
  3. Step 3: Cross multiply
    923.75x = 1,385.79 × 376.32
  4. Step 4: Simplify right side
    923.75x = 521,498.60
  5. Step 5: Solve for x
    x = 521,498.60/923.75
  6. Step 6: Final answer
    x = 564.54

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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.