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Finding the Fourth Proportional to 572.74, 859.21 and 264.47

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Solution

The fourth proportional to 572.74, 859.21 and 264.47 is: 396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.74 : 859.21 = 264.47 : x
  2. Step 2: Convert to fraction form
    572.74/859.21 = 264.47/x
  3. Step 3: Cross multiply
    572.74x = 859.21 × 264.47
  4. Step 4: Simplify right side
    572.74x = 227,230.31
  5. Step 5: Solve for x
    x = 227,230.31/572.74
  6. Step 6: Final answer
    x = 396.74

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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.