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Finding the Fourth Proportional to 528.37, 728.18 and 411.73

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Solution

The fourth proportional to 528.37, 728.18 and 411.73 is: 567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.37 : 728.18 = 411.73 : x
  2. Step 2: Convert to fraction form
    528.37/728.18 = 411.73/x
  3. Step 3: Cross multiply
    528.37x = 728.18 × 411.73
  4. Step 4: Simplify right side
    528.37x = 299,811.49
  5. Step 5: Solve for x
    x = 299,811.49/528.37
  6. Step 6: Final answer
    x = 567.43

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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.