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Finding the Fourth Proportional to 434.22, 597.40 and 379.09

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Solution

The fourth proportional to 434.22, 597.40 and 379.09 is: 521.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.22 : 597.40 = 379.09 : x
  2. Step 2: Convert to fraction form
    434.22/597.40 = 379.09/x
  3. Step 3: Cross multiply
    434.22x = 597.40 × 379.09
  4. Step 4: Simplify right side
    434.22x = 226,468.37
  5. Step 5: Solve for x
    x = 226,468.37/434.22
  6. Step 6: Final answer
    x = 521.55

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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.