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Finding the Fourth Proportional to 395.14, 592.59 and 274.18

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Solution

The fourth proportional to 395.14, 592.59 and 274.18 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 592.59 = 274.18 : x
  2. Step 2: Convert to fraction form
    395.14/592.59 = 274.18/x
  3. Step 3: Cross multiply
    395.14x = 592.59 × 274.18
  4. Step 4: Simplify right side
    395.14x = 162,476.33
  5. Step 5: Solve for x
    x = 162,476.33/395.14
  6. Step 6: Final answer
    x = 411.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.