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Finding the Fourth Proportional to 528.66, 793.06 and 182.08

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Solution

The fourth proportional to 528.66, 793.06 and 182.08 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.66 : 793.06 = 182.08 : x
  2. Step 2: Convert to fraction form
    528.66/793.06 = 182.08/x
  3. Step 3: Cross multiply
    528.66x = 793.06 × 182.08
  4. Step 4: Simplify right side
    528.66x = 144,400.90
  5. Step 5: Solve for x
    x = 144,400.90/528.66
  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.