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Finding the Fourth Proportional to 529.41, 794.12 and 164.19

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Solution

The fourth proportional to 529.41, 794.12 and 164.19 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.41 : 794.12 = 164.19 : x
  2. Step 2: Convert to fraction form
    529.41/794.12 = 164.19/x
  3. Step 3: Cross multiply
    529.41x = 794.12 × 164.19
  4. Step 4: Simplify right side
    529.41x = 130,385.74
  5. Step 5: Solve for x
    x = 130,385.74/529.41
  6. Step 6: Final answer
    x = 246.29

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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.