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Finding the Fourth Proportional to 395.10, 592.72 and 189.53

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Solution

The fourth proportional to 395.10, 592.72 and 189.53 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 592.72 = 189.53 : x
  2. Step 2: Convert to fraction form
    395.10/592.72 = 189.53/x
  3. Step 3: Cross multiply
    395.10x = 592.72 × 189.53
  4. Step 4: Simplify right side
    395.10x = 112,338.22
  5. Step 5: Solve for x
    x = 112,338.22/395.10
  6. Step 6: Final answer
    x = 284.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.