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Finding the Fourth Proportional to 380.52, 568.03 and 334.39

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Solution

The fourth proportional to 380.52, 568.03 and 334.39 is: 499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.52 : 568.03 = 334.39 : x
  2. Step 2: Convert to fraction form
    380.52/568.03 = 334.39/x
  3. Step 3: Cross multiply
    380.52x = 568.03 × 334.39
  4. Step 4: Simplify right side
    380.52x = 189,946.37
  5. Step 5: Solve for x
    x = 189,946.37/380.52
  6. Step 6: Final answer
    x = 499.17

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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.