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Finding the Fourth Proportional to 395.79, 593.76 and 176.33

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Solution

The fourth proportional to 395.79, 593.76 and 176.33 is: 264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.79 : 593.76 = 176.33 : x
  2. Step 2: Convert to fraction form
    395.79/593.76 = 176.33/x
  3. Step 3: Cross multiply
    395.79x = 593.76 × 176.33
  4. Step 4: Simplify right side
    395.79x = 104,695.02
  5. Step 5: Solve for x
    x = 104,695.02/395.79
  6. Step 6: Final answer
    x = 264.52

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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.