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Finding the Fourth Proportional to 572.18, 789.35 and 362.21

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Solution

The fourth proportional to 572.18, 789.35 and 362.21 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.18 : 789.35 = 362.21 : x
  2. Step 2: Convert to fraction form
    572.18/789.35 = 362.21/x
  3. Step 3: Cross multiply
    572.18x = 789.35 × 362.21
  4. Step 4: Simplify right side
    572.18x = 285,904.71
  5. Step 5: Solve for x
    x = 285,904.71/572.18
  6. Step 6: Final answer
    x = 499.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.