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Finding the Fourth Proportional to 291.69, 437.60 and 200.43

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Solution

The fourth proportional to 291.69, 437.60 and 200.43 is: 300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.69 : 437.60 = 200.43 : x
  2. Step 2: Convert to fraction form
    291.69/437.60 = 200.43/x
  3. Step 3: Cross multiply
    291.69x = 437.60 × 200.43
  4. Step 4: Simplify right side
    291.69x = 87,707.17
  5. Step 5: Solve for x
    x = 87,707.17/291.69
  6. Step 6: Final answer
    x = 300.69

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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.