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Finding the Fourth Proportional to 529.26, 792.96 and 346.68

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Solution

The fourth proportional to 529.26, 792.96 and 346.68 is: 519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.26 : 792.96 = 346.68 : x
  2. Step 2: Convert to fraction form
    529.26/792.96 = 346.68/x
  3. Step 3: Cross multiply
    529.26x = 792.96 × 346.68
  4. Step 4: Simplify right side
    529.26x = 274,903.37
  5. Step 5: Solve for x
    x = 274,903.37/529.26
  6. Step 6: Final answer
    x = 519.41

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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.