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Finding the Fourth Proportional to 529.40, 794.00 and 164.09

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Solution

The fourth proportional to 529.40, 794.00 and 164.09 is: 246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.40 : 794.00 = 164.09 : x
  2. Step 2: Convert to fraction form
    529.40/794.00 = 164.09/x
  3. Step 3: Cross multiply
    529.40x = 794.00 × 164.09
  4. Step 4: Simplify right side
    529.40x = 130,289.86
  5. Step 5: Solve for x
    x = 130,289.86/529.40
  6. Step 6: Final answer
    x = 246.11

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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.