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Finding the Fourth Proportional to 529.34, 794.09 and 164.05

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Solution

The fourth proportional to 529.34, 794.09 and 164.05 is: 246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 794.09 = 164.05 : x
  2. Step 2: Convert to fraction form
    529.34/794.09 = 164.05/x
  3. Step 3: Cross multiply
    529.34x = 794.09 × 164.05
  4. Step 4: Simplify right side
    529.34x = 130,271.87
  5. Step 5: Solve for x
    x = 130,271.87/529.34
  6. Step 6: Final answer
    x = 246.10

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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.