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Finding the Fourth Proportional to 529.39, 793.92 and 164.08

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Solution

The fourth proportional to 529.39, 793.92 and 164.08 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.39 : 793.92 = 164.08 : x
  2. Step 2: Convert to fraction form
    529.39/793.92 = 164.08/x
  3. Step 3: Cross multiply
    529.39x = 793.92 × 164.08
  4. Step 4: Simplify right side
    529.39x = 130,266.39
  5. Step 5: Solve for x
    x = 130,266.39/529.39
  6. Step 6: Final answer
    x = 246.07

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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.