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Finding the Fourth Proportional to 347.18, 523.36 and 324.26

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Solution

The fourth proportional to 347.18, 523.36 and 324.26 is: 488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.18 : 523.36 = 324.26 : x
  2. Step 2: Convert to fraction form
    347.18/523.36 = 324.26/x
  3. Step 3: Cross multiply
    347.18x = 523.36 × 324.26
  4. Step 4: Simplify right side
    347.18x = 169,704.46
  5. Step 5: Solve for x
    x = 169,704.46/347.18
  6. Step 6: Final answer
    x = 488.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.