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Finding the Fourth Proportional to 395.33, 592.76 and 189.63

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Solution

The fourth proportional to 395.33, 592.76 and 189.63 is: 284.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.33 : 592.76 = 189.63 : x
  2. Step 2: Convert to fraction form
    395.33/592.76 = 189.63/x
  3. Step 3: Cross multiply
    395.33x = 592.76 × 189.63
  4. Step 4: Simplify right side
    395.33x = 112,404.13
  5. Step 5: Solve for x
    x = 112,404.13/395.33
  6. Step 6: Final answer
    x = 284.33

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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.