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Finding the Fourth Proportional to 572.70, 859.44 and 377.28

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Solution

The fourth proportional to 572.70, 859.44 and 377.28 is: 566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.70 : 859.44 = 377.28 : x
  2. Step 2: Convert to fraction form
    572.70/859.44 = 377.28/x
  3. Step 3: Cross multiply
    572.70x = 859.44 × 377.28
  4. Step 4: Simplify right side
    572.70x = 324,249.52
  5. Step 5: Solve for x
    x = 324,249.52/572.70
  6. Step 6: Final answer
    x = 566.18

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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.