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Finding the Fourth Proportional to 528.60, 792.89 and 182.17

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Solution

The fourth proportional to 528.60, 792.89 and 182.17 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.60 : 792.89 = 182.17 : x
  2. Step 2: Convert to fraction form
    528.60/792.89 = 182.17/x
  3. Step 3: Cross multiply
    528.60x = 792.89 × 182.17
  4. Step 4: Simplify right side
    528.60x = 144,440.77
  5. Step 5: Solve for x
    x = 144,440.77/528.60
  6. Step 6: Final answer
    x = 273.25

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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.