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Finding the Fourth Proportional to 528.42, 791.95 and 220.08

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Solution

The fourth proportional to 528.42, 791.95 and 220.08 is: 329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 791.95 = 220.08 : x
  2. Step 2: Convert to fraction form
    528.42/791.95 = 220.08/x
  3. Step 3: Cross multiply
    528.42x = 791.95 × 220.08
  4. Step 4: Simplify right side
    528.42x = 174,292.36
  5. Step 5: Solve for x
    x = 174,292.36/528.42
  6. Step 6: Final answer
    x = 329.84

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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.