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Finding the Fourth Proportional to 303.94, 455.90 and 289.18

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Solution

The fourth proportional to 303.94, 455.90 and 289.18 is: 433.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.94 : 455.90 = 289.18 : x
  2. Step 2: Convert to fraction form
    303.94/455.90 = 289.18/x
  3. Step 3: Cross multiply
    303.94x = 455.90 × 289.18
  4. Step 4: Simplify right side
    303.94x = 131,836.75
  5. Step 5: Solve for x
    x = 131,836.75/303.94
  6. Step 6: Final answer
    x = 433.76

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Why These Related Problems?

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