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Finding the Fourth Proportional to 550.32, 819.72 and 529.26

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Solution

The fourth proportional to 550.32, 819.72 and 529.26 is: 788.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.32 : 819.72 = 529.26 : x
  2. Step 2: Convert to fraction form
    550.32/819.72 = 529.26/x
  3. Step 3: Cross multiply
    550.32x = 819.72 × 529.26
  4. Step 4: Simplify right side
    550.32x = 433,845.01
  5. Step 5: Solve for x
    x = 433,845.01/550.32
  6. Step 6: Final answer
    x = 788.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.