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Finding the Fourth Proportional to 528.63, 734.54 and 522.92

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Solution

The fourth proportional to 528.63, 734.54 and 522.92 is: 726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.63 : 734.54 = 522.92 : x
  2. Step 2: Convert to fraction form
    528.63/734.54 = 522.92/x
  3. Step 3: Cross multiply
    528.63x = 734.54 × 522.92
  4. Step 4: Simplify right side
    528.63x = 384,104.88
  5. Step 5: Solve for x
    x = 384,104.88/528.63
  6. Step 6: Final answer
    x = 726.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.