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Finding the Fourth Proportional to 374.07, 516.13 and 214.48

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Solution

The fourth proportional to 374.07, 516.13 and 214.48 is: 295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.07 : 516.13 = 214.48 : x
  2. Step 2: Convert to fraction form
    374.07/516.13 = 214.48/x
  3. Step 3: Cross multiply
    374.07x = 516.13 × 214.48
  4. Step 4: Simplify right side
    374.07x = 110,698.20
  5. Step 5: Solve for x
    x = 110,698.20/374.07
  6. Step 6: Final answer
    x = 295.93

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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.