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Finding the Fourth Proportional to 528.94, 729.57 and 381.25

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Solution

The fourth proportional to 528.94, 729.57 and 381.25 is: 525.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.94 : 729.57 = 381.25 : x
  2. Step 2: Convert to fraction form
    528.94/729.57 = 381.25/x
  3. Step 3: Cross multiply
    528.94x = 729.57 × 381.25
  4. Step 4: Simplify right side
    528.94x = 278,148.56
  5. Step 5: Solve for x
    x = 278,148.56/528.94
  6. Step 6: Final answer
    x = 525.86

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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.