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Finding the Fourth Proportional to 528.12, 791.60 and 406.08

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Solution

The fourth proportional to 528.12, 791.60 and 406.08 is: 608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.12 : 791.60 = 406.08 : x
  2. Step 2: Convert to fraction form
    528.12/791.60 = 406.08/x
  3. Step 3: Cross multiply
    528.12x = 791.60 × 406.08
  4. Step 4: Simplify right side
    528.12x = 321,452.93
  5. Step 5: Solve for x
    x = 321,452.93/528.12
  6. Step 6: Final answer
    x = 608.67

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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.