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Finding the Fourth Proportional to 572.14, 858.44 and 377.11

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Solution

The fourth proportional to 572.14, 858.44 and 377.11 is: 565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.14 : 858.44 = 377.11 : x
  2. Step 2: Convert to fraction form
    572.14/858.44 = 377.11/x
  3. Step 3: Cross multiply
    572.14x = 858.44 × 377.11
  4. Step 4: Simplify right side
    572.14x = 323,722.43
  5. Step 5: Solve for x
    x = 323,722.43/572.14
  6. Step 6: Final answer
    x = 565.81

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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.