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Finding the Fourth Proportional to 395.33, 592.44 and 314.33

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Solution

The fourth proportional to 395.33, 592.44 and 314.33 is: 471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.33 : 592.44 = 314.33 : x
  2. Step 2: Convert to fraction form
    395.33/592.44 = 314.33/x
  3. Step 3: Cross multiply
    395.33x = 592.44 × 314.33
  4. Step 4: Simplify right side
    395.33x = 186,221.67
  5. Step 5: Solve for x
    x = 186,221.67/395.33
  6. Step 6: Final answer
    x = 471.05

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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.