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Finding the Fourth Proportional to 303.10, 453.96 and 260.38

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Solution

The fourth proportional to 303.10, 453.96 and 260.38 is: 389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.10 : 453.96 = 260.38 : x
  2. Step 2: Convert to fraction form
    303.10/453.96 = 260.38/x
  3. Step 3: Cross multiply
    303.10x = 453.96 × 260.38
  4. Step 4: Simplify right side
    303.10x = 118,202.10
  5. Step 5: Solve for x
    x = 118,202.10/303.10
  6. Step 6: Final answer
    x = 389.98

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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.