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Finding the Fourth Proportional to 421.25, 581.04 and 322.83

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Solution

The fourth proportional to 421.25, 581.04 and 322.83 is: 445.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.25 : 581.04 = 322.83 : x
  2. Step 2: Convert to fraction form
    421.25/581.04 = 322.83/x
  3. Step 3: Cross multiply
    421.25x = 581.04 × 322.83
  4. Step 4: Simplify right side
    421.25x = 187,577.14
  5. Step 5: Solve for x
    x = 187,577.14/421.25
  6. Step 6: Final answer
    x = 445.29

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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.