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Finding the Fourth Proportional to 532.44, 734.94 and 376.92

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Solution

The fourth proportional to 532.44, 734.94 and 376.92 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.44 : 734.94 = 376.92 : x
  2. Step 2: Convert to fraction form
    532.44/734.94 = 376.92/x
  3. Step 3: Cross multiply
    532.44x = 734.94 × 376.92
  4. Step 4: Simplify right side
    532.44x = 277,013.58
  5. Step 5: Solve for x
    x = 277,013.58/532.44
  6. Step 6: Final answer
    x = 520.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.