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Finding the Fourth Proportional to 386.79, 582.12 and 349.05

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Solution

The fourth proportional to 386.79, 582.12 and 349.05 is: 525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.79 : 582.12 = 349.05 : x
  2. Step 2: Convert to fraction form
    386.79/582.12 = 349.05/x
  3. Step 3: Cross multiply
    386.79x = 582.12 × 349.05
  4. Step 4: Simplify right side
    386.79x = 203,188.99
  5. Step 5: Solve for x
    x = 203,188.99/386.79
  6. Step 6: Final answer
    x = 525.32

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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.