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Finding the Fourth Proportional to 525.44, 725.13 and 289.42

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Solution

The fourth proportional to 525.44, 725.13 and 289.42 is: 399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.44 : 725.13 = 289.42 : x
  2. Step 2: Convert to fraction form
    525.44/725.13 = 289.42/x
  3. Step 3: Cross multiply
    525.44x = 725.13 × 289.42
  4. Step 4: Simplify right side
    525.44x = 209,867.12
  5. Step 5: Solve for x
    x = 209,867.12/525.44
  6. Step 6: Final answer
    x = 399.41

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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.