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Finding the Fourth Proportional to 389.01, 536.85 and 223.23

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Solution

The fourth proportional to 389.01, 536.85 and 223.23 is: 308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 536.85 = 223.23 : x
  2. Step 2: Convert to fraction form
    389.01/536.85 = 223.23/x
  3. Step 3: Cross multiply
    389.01x = 536.85 × 223.23
  4. Step 4: Simplify right side
    389.01x = 119,841.03
  5. Step 5: Solve for x
    x = 119,841.03/389.01
  6. Step 6: Final answer
    x = 308.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.