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Finding the Fourth Proportional to 594.32, 820.22 and 345.69

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Solution

The fourth proportional to 594.32, 820.22 and 345.69 is: 477.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.32 : 820.22 = 345.69 : x
  2. Step 2: Convert to fraction form
    594.32/820.22 = 345.69/x
  3. Step 3: Cross multiply
    594.32x = 820.22 × 345.69
  4. Step 4: Simplify right side
    594.32x = 283,540.12
  5. Step 5: Solve for x
    x = 283,540.12/594.32
  6. Step 6: Final answer
    x = 477.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.