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Finding the Fourth Proportional to 374.94, 516.42 and 322.38

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Solution

The fourth proportional to 374.94, 516.42 and 322.38 is: 444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.94 : 516.42 = 322.38 : x
  2. Step 2: Convert to fraction form
    374.94/516.42 = 322.38/x
  3. Step 3: Cross multiply
    374.94x = 516.42 × 322.38
  4. Step 4: Simplify right side
    374.94x = 166,483.48
  5. Step 5: Solve for x
    x = 166,483.48/374.94
  6. Step 6: Final answer
    x = 444.03

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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.