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Finding the Fourth Proportional to 395.16, 593.04 and 175.86

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Solution

The fourth proportional to 395.16, 593.04 and 175.86 is: 263.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 593.04 = 175.86 : x
  2. Step 2: Convert to fraction form
    395.16/593.04 = 175.86/x
  3. Step 3: Cross multiply
    395.16x = 593.04 × 175.86
  4. Step 4: Simplify right side
    395.16x = 104,292.01
  5. Step 5: Solve for x
    x = 104,292.01/395.16
  6. Step 6: Final answer
    x = 263.92

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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.