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Finding the Fourth Proportional to 572.43, 859.09 and 264.42

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Solution

The fourth proportional to 572.43, 859.09 and 264.42 is: 396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.43 : 859.09 = 264.42 : x
  2. Step 2: Convert to fraction form
    572.43/859.09 = 264.42/x
  3. Step 3: Cross multiply
    572.43x = 859.09 × 264.42
  4. Step 4: Simplify right side
    572.43x = 227,160.58
  5. Step 5: Solve for x
    x = 227,160.58/572.43
  6. Step 6: Final answer
    x = 396.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.