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Finding the Fourth Proportional to 389.28, 536.76 and 330.96

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Solution

The fourth proportional to 389.28, 536.76 and 330.96 is: 456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 536.76 = 330.96 : x
  2. Step 2: Convert to fraction form
    389.28/536.76 = 330.96/x
  3. Step 3: Cross multiply
    389.28x = 536.76 × 330.96
  4. Step 4: Simplify right side
    389.28x = 177,646.09
  5. Step 5: Solve for x
    x = 177,646.09/389.28
  6. Step 6: Final answer
    x = 456.35

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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.