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Finding the Fourth Proportional to 386.72, 582.98 and 323

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Solution

The fourth proportional to 386.72, 582.98 and 323 is: 486.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.72 : 582.98 = 323 : x
  2. Step 2: Convert to fraction form
    386.72/582.98 = 323/x
  3. Step 3: Cross multiply
    386.72x = 582.98 × 323
  4. Step 4: Simplify right side
    386.72x = 188,302.54
  5. Step 5: Solve for x
    x = 188,302.54/386.72
  6. Step 6: Final answer
    x = 486.92

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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.