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Finding the Fourth Proportional to 395.63, 592.28 and 293.38

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Solution

The fourth proportional to 395.63, 592.28 and 293.38 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.63 : 592.28 = 293.38 : x
  2. Step 2: Convert to fraction form
    395.63/592.28 = 293.38/x
  3. Step 3: Cross multiply
    395.63x = 592.28 × 293.38
  4. Step 4: Simplify right side
    395.63x = 173,758.68
  5. Step 5: Solve for x
    x = 173,758.68/395.63
  6. Step 6: Final answer
    x = 439.19

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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.