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Finding the Fourth Proportional to 374.52, 516.78 and 258.24

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Solution

The fourth proportional to 374.52, 516.78 and 258.24 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.52 : 516.78 = 258.24 : x
  2. Step 2: Convert to fraction form
    374.52/516.78 = 258.24/x
  3. Step 3: Cross multiply
    374.52x = 516.78 × 258.24
  4. Step 4: Simplify right side
    374.52x = 133,453.27
  5. Step 5: Solve for x
    x = 133,453.27/374.52
  6. Step 6: Final answer
    x = 356.33

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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.