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Finding the Fourth Proportional to 529.37, 794.05 and 255.99

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Solution

The fourth proportional to 529.37, 794.05 and 255.99 is: 383.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.37 : 794.05 = 255.99 : x
  2. Step 2: Convert to fraction form
    529.37/794.05 = 255.99/x
  3. Step 3: Cross multiply
    529.37x = 794.05 × 255.99
  4. Step 4: Simplify right side
    529.37x = 203,272.64
  5. Step 5: Solve for x
    x = 203,272.64/529.37
  6. Step 6: Final answer
    x = 383.99

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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.