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Finding the Fourth Proportional to 529.67, 794.58 and 164.54

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Solution

The fourth proportional to 529.67, 794.58 and 164.54 is: 246.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.67 : 794.58 = 164.54 : x
  2. Step 2: Convert to fraction form
    529.67/794.58 = 164.54/x
  3. Step 3: Cross multiply
    529.67x = 794.58 × 164.54
  4. Step 4: Simplify right side
    529.67x = 130,740.19
  5. Step 5: Solve for x
    x = 130,740.19/529.67
  6. Step 6: Final answer
    x = 246.83

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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.