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Finding the Fourth Proportional to 422.66, 583.34 and 352.59

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Solution

The fourth proportional to 422.66, 583.34 and 352.59 is: 486.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.66 : 583.34 = 352.59 : x
  2. Step 2: Convert to fraction form
    422.66/583.34 = 352.59/x
  3. Step 3: Cross multiply
    422.66x = 583.34 × 352.59
  4. Step 4: Simplify right side
    422.66x = 205,678.09
  5. Step 5: Solve for x
    x = 205,678.09/422.66
  6. Step 6: Final answer
    x = 486.63

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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.