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Finding the Fourth Proportional to 405.46, 609.41 and 356.86

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Solution

The fourth proportional to 405.46, 609.41 and 356.86 is: 536.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.46 : 609.41 = 356.86 : x
  2. Step 2: Convert to fraction form
    405.46/609.41 = 356.86/x
  3. Step 3: Cross multiply
    405.46x = 609.41 × 356.86
  4. Step 4: Simplify right side
    405.46x = 217,474.05
  5. Step 5: Solve for x
    x = 217,474.05/405.46
  6. Step 6: Final answer
    x = 536.36

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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.