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Finding the Fourth Proportional to 386.35, 582.58 and 379.06

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Solution

The fourth proportional to 386.35, 582.58 and 379.06 is: 571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.35 : 582.58 = 379.06 : x
  2. Step 2: Convert to fraction form
    386.35/582.58 = 379.06/x
  3. Step 3: Cross multiply
    386.35x = 582.58 × 379.06
  4. Step 4: Simplify right side
    386.35x = 220,831.79
  5. Step 5: Solve for x
    x = 220,831.79/386.35
  6. Step 6: Final answer
    x = 571.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.