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Finding the Fourth Proportional to 528.56, 791.04 and 312.56

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Solution

The fourth proportional to 528.56, 791.04 and 312.56 is: 467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.56 : 791.04 = 312.56 : x
  2. Step 2: Convert to fraction form
    528.56/791.04 = 312.56/x
  3. Step 3: Cross multiply
    528.56x = 791.04 × 312.56
  4. Step 4: Simplify right side
    528.56x = 247,247.46
  5. Step 5: Solve for x
    x = 247,247.46/528.56
  6. Step 6: Final answer
    x = 467.78

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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.