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Finding the Fourth Proportional to 364.08, 501.96 and 322.68

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Solution

The fourth proportional to 364.08, 501.96 and 322.68 is: 444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 501.96 = 322.68 : x
  2. Step 2: Convert to fraction form
    364.08/501.96 = 322.68/x
  3. Step 3: Cross multiply
    364.08x = 501.96 × 322.68
  4. Step 4: Simplify right side
    364.08x = 161,972.45
  5. Step 5: Solve for x
    x = 161,972.45/364.08
  6. Step 6: Final answer
    x = 444.88

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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.