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Finding the Fourth Proportional to 572.00, 789.14 and 362.09

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Solution

The fourth proportional to 572.00, 789.14 and 362.09 is: 499.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.00 : 789.14 = 362.09 : x
  2. Step 2: Convert to fraction form
    572.00/789.14 = 362.09/x
  3. Step 3: Cross multiply
    572.00x = 789.14 × 362.09
  4. Step 4: Simplify right side
    572.00x = 285,742.58
  5. Step 5: Solve for x
    x = 285,742.58/572.00
  6. Step 6: Final answer
    x = 499.55

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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.