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Finding the Fourth Proportional to 389.52, 582.12 and 340.92

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Solution

The fourth proportional to 389.52, 582.12 and 340.92 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 582.12 = 340.92 : x
  2. Step 2: Convert to fraction form
    389.52/582.12 = 340.92/x
  3. Step 3: Cross multiply
    389.52x = 582.12 × 340.92
  4. Step 4: Simplify right side
    389.52x = 198,456.35
  5. Step 5: Solve for x
    x = 198,456.35/389.52
  6. Step 6: Final answer
    x = 509.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.