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Finding the Fourth Proportional to 433.67, 649.35 and 303.83

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Solution

The fourth proportional to 433.67, 649.35 and 303.83 is: 454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.67 : 649.35 = 303.83 : x
  2. Step 2: Convert to fraction form
    433.67/649.35 = 303.83/x
  3. Step 3: Cross multiply
    433.67x = 649.35 × 303.83
  4. Step 4: Simplify right side
    433.67x = 197,288.76
  5. Step 5: Solve for x
    x = 197,288.76/433.67
  6. Step 6: Final answer
    x = 454.93

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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.