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Finding the Fourth Proportional to 422.51, 583.04 and 236.00

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Solution

The fourth proportional to 422.51, 583.04 and 236.00 is: 325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.51 : 583.04 = 236.00 : x
  2. Step 2: Convert to fraction form
    422.51/583.04 = 236.00/x
  3. Step 3: Cross multiply
    422.51x = 583.04 × 236.00
  4. Step 4: Simplify right side
    422.51x = 137,593.34
  5. Step 5: Solve for x
    x = 137,593.34/422.51
  6. Step 6: Final answer
    x = 325.66

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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.