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Finding the Fourth Proportional to 374.40, 516.84 and 243.50

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Solution

The fourth proportional to 374.40, 516.84 and 243.50 is: 336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.40 : 516.84 = 243.50 : x
  2. Step 2: Convert to fraction form
    374.40/516.84 = 243.50/x
  3. Step 3: Cross multiply
    374.40x = 516.84 × 243.50
  4. Step 4: Simplify right side
    374.40x = 125,850.54
  5. Step 5: Solve for x
    x = 125,850.54/374.40
  6. Step 6: Final answer
    x = 336.14

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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.