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Finding the Fourth Proportional to 303.14, 455.32 and 276.01

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Solution

The fourth proportional to 303.14, 455.32 and 276.01 is: 414.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.14 : 455.32 = 276.01 : x
  2. Step 2: Convert to fraction form
    303.14/455.32 = 276.01/x
  3. Step 3: Cross multiply
    303.14x = 455.32 × 276.01
  4. Step 4: Simplify right side
    303.14x = 125,672.08
  5. Step 5: Solve for x
    x = 125,672.08/303.14
  6. Step 6: Final answer
    x = 414.56

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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.