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Finding the Fourth Proportional to 528.14, 728.73 and 331.92

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Solution

The fourth proportional to 528.14, 728.73 and 331.92 is: 457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 728.73 = 331.92 : x
  2. Step 2: Convert to fraction form
    528.14/728.73 = 331.92/x
  3. Step 3: Cross multiply
    528.14x = 728.73 × 331.92
  4. Step 4: Simplify right side
    528.14x = 241,880.06
  5. Step 5: Solve for x
    x = 241,880.06/528.14
  6. Step 6: Final answer
    x = 457.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.