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Finding the Fourth Proportional to 528.56, 791.76 and 310.40

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Solution

The fourth proportional to 528.56, 791.76 and 310.40 is: 464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.56 : 791.76 = 310.40 : x
  2. Step 2: Convert to fraction form
    528.56/791.76 = 310.40/x
  3. Step 3: Cross multiply
    528.56x = 791.76 × 310.40
  4. Step 4: Simplify right side
    528.56x = 245,762.30
  5. Step 5: Solve for x
    x = 245,762.30/528.56
  6. Step 6: Final answer
    x = 464.97

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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.