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Finding the Fourth Proportional to 395.24, 592.35 and 346.37

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Solution

The fourth proportional to 395.24, 592.35 and 346.37 is: 519.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.24 : 592.35 = 346.37 : x
  2. Step 2: Convert to fraction form
    395.24/592.35 = 346.37/x
  3. Step 3: Cross multiply
    395.24x = 592.35 × 346.37
  4. Step 4: Simplify right side
    395.24x = 205,169.31
  5. Step 5: Solve for x
    x = 205,169.31/395.24
  6. Step 6: Final answer
    x = 519.11

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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.