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Finding the Fourth Proportional to 433.94, 598.27 and 374.71

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Solution

The fourth proportional to 433.94, 598.27 and 374.71 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.94 : 598.27 = 374.71 : x
  2. Step 2: Convert to fraction form
    433.94/598.27 = 374.71/x
  3. Step 3: Cross multiply
    433.94x = 598.27 × 374.71
  4. Step 4: Simplify right side
    433.94x = 224,181.25
  5. Step 5: Solve for x
    x = 224,181.25/433.94
  6. Step 6: Final answer
    x = 516.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.