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Finding the Fourth Proportional to 595.22, 821.48 and 343.24

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Solution

The fourth proportional to 595.22, 821.48 and 343.24 is: 473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.22 : 821.48 = 343.24 : x
  2. Step 2: Convert to fraction form
    595.22/821.48 = 343.24/x
  3. Step 3: Cross multiply
    595.22x = 821.48 × 343.24
  4. Step 4: Simplify right side
    595.22x = 281,961.03
  5. Step 5: Solve for x
    x = 281,961.03/595.22
  6. Step 6: Final answer
    x = 473.71

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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.