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Finding the Fourth Proportional to 374.24, 516.94 and 292.28

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Solution

The fourth proportional to 374.24, 516.94 and 292.28 is: 403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.24 : 516.94 = 292.28 : x
  2. Step 2: Convert to fraction form
    374.24/516.94 = 292.28/x
  3. Step 3: Cross multiply
    374.24x = 516.94 × 292.28
  4. Step 4: Simplify right side
    374.24x = 151,091.22
  5. Step 5: Solve for x
    x = 151,091.22/374.24
  6. Step 6: Final answer
    x = 403.73

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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.