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Finding the Fourth Proportional to 380.06, 567.83 and 334.94

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Solution

The fourth proportional to 380.06, 567.83 and 334.94 is: 500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 567.83 = 334.94 : x
  2. Step 2: Convert to fraction form
    380.06/567.83 = 334.94/x
  3. Step 3: Cross multiply
    380.06x = 567.83 × 334.94
  4. Step 4: Simplify right side
    380.06x = 190,188.98
  5. Step 5: Solve for x
    x = 190,188.98/380.06
  6. Step 6: Final answer
    x = 500.42

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Why These Related Problems?

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