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Finding the Fourth Proportional to 528.71, 793.19 and 182.07

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Solution

The fourth proportional to 528.71, 793.19 and 182.07 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.71 : 793.19 = 182.07 : x
  2. Step 2: Convert to fraction form
    528.71/793.19 = 182.07/x
  3. Step 3: Cross multiply
    528.71x = 793.19 × 182.07
  4. Step 4: Simplify right side
    528.71x = 144,415.19
  5. Step 5: Solve for x
    x = 144,415.19/528.71
  6. Step 6: Final answer
    x = 273.15

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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.