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Finding the Fourth Proportional to 395.31, 592.51 and 233.11

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Solution

The fourth proportional to 395.31, 592.51 and 233.11 is: 349.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.31 : 592.51 = 233.11 : x
  2. Step 2: Convert to fraction form
    395.31/592.51 = 233.11/x
  3. Step 3: Cross multiply
    395.31x = 592.51 × 233.11
  4. Step 4: Simplify right side
    395.31x = 138,120.01
  5. Step 5: Solve for x
    x = 138,120.01/395.31
  6. Step 6: Final answer
    x = 349.40

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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.