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Finding the Fourth Proportional to 350.54, 523.16 and 306.42

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Solution

The fourth proportional to 350.54, 523.16 and 306.42 is: 457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.54 : 523.16 = 306.42 : x
  2. Step 2: Convert to fraction form
    350.54/523.16 = 306.42/x
  3. Step 3: Cross multiply
    350.54x = 523.16 × 306.42
  4. Step 4: Simplify right side
    350.54x = 160,306.69
  5. Step 5: Solve for x
    x = 160,306.69/350.54
  6. Step 6: Final answer
    x = 457.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.