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Finding the Fourth Proportional to 529.49, 794.33 and 182.86

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Solution

The fourth proportional to 529.49, 794.33 and 182.86 is: 274.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.49 : 794.33 = 182.86 : x
  2. Step 2: Convert to fraction form
    529.49/794.33 = 182.86/x
  3. Step 3: Cross multiply
    529.49x = 794.33 × 182.86
  4. Step 4: Simplify right side
    529.49x = 145,251.18
  5. Step 5: Solve for x
    x = 145,251.18/529.49
  6. Step 6: Final answer
    x = 274.32

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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.