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Finding the Fourth Proportional to 354.29, 528.48 and 322.83

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Solution

The fourth proportional to 354.29, 528.48 and 322.83 is: 481.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.29 : 528.48 = 322.83 : x
  2. Step 2: Convert to fraction form
    354.29/528.48 = 322.83/x
  3. Step 3: Cross multiply
    354.29x = 528.48 × 322.83
  4. Step 4: Simplify right side
    354.29x = 170,609.20
  5. Step 5: Solve for x
    x = 170,609.20/354.29
  6. Step 6: Final answer
    x = 481.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.