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Finding the Fourth Proportional to 383.72, 577.02 and 323.24

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Solution

The fourth proportional to 383.72, 577.02 and 323.24 is: 486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.72 : 577.02 = 323.24 : x
  2. Step 2: Convert to fraction form
    383.72/577.02 = 323.24/x
  3. Step 3: Cross multiply
    383.72x = 577.02 × 323.24
  4. Step 4: Simplify right side
    383.72x = 186,515.94
  5. Step 5: Solve for x
    x = 186,515.94/383.72
  6. Step 6: Final answer
    x = 486.07

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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.