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Finding the Fourth Proportional to 529.60, 794.49 and 164.30

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Solution

The fourth proportional to 529.60, 794.49 and 164.30 is: 246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.60 : 794.49 = 164.30 : x
  2. Step 2: Convert to fraction form
    529.60/794.49 = 164.30/x
  3. Step 3: Cross multiply
    529.60x = 794.49 × 164.30
  4. Step 4: Simplify right side
    529.60x = 130,534.59
  5. Step 5: Solve for x
    x = 130,534.59/529.60
  6. Step 6: Final answer
    x = 246.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.