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Finding the Fourth Proportional to 528.36, 729.06 and 411.88

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Solution

The fourth proportional to 528.36, 729.06 and 411.88 is: 568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.36 : 729.06 = 411.88 : x
  2. Step 2: Convert to fraction form
    528.36/729.06 = 411.88/x
  3. Step 3: Cross multiply
    528.36x = 729.06 × 411.88
  4. Step 4: Simplify right side
    528.36x = 300,285.23
  5. Step 5: Solve for x
    x = 300,285.23/528.36
  6. Step 6: Final answer
    x = 568.33

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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.