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Finding the Fourth Proportional to 529.09, 793.05 and 182.09

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Solution

The fourth proportional to 529.09, 793.05 and 182.09 is: 272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.09 : 793.05 = 182.09 : x
  2. Step 2: Convert to fraction form
    529.09/793.05 = 182.09/x
  3. Step 3: Cross multiply
    529.09x = 793.05 × 182.09
  4. Step 4: Simplify right side
    529.09x = 144,406.47
  5. Step 5: Solve for x
    x = 144,406.47/529.09
  6. Step 6: Final answer
    x = 272.94

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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.