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Finding the Fourth Proportional to 384.45, 575.04 and 355.29

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Solution

The fourth proportional to 384.45, 575.04 and 355.29 is: 531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.45 : 575.04 = 355.29 : x
  2. Step 2: Convert to fraction form
    384.45/575.04 = 355.29/x
  3. Step 3: Cross multiply
    384.45x = 575.04 × 355.29
  4. Step 4: Simplify right side
    384.45x = 204,305.96
  5. Step 5: Solve for x
    x = 204,305.96/384.45
  6. Step 6: Final answer
    x = 531.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.