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Finding the Fourth Proportional to 405.21, 558.54 and 305.48

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Solution

The fourth proportional to 405.21, 558.54 and 305.48 is: 421.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.21 : 558.54 = 305.48 : x
  2. Step 2: Convert to fraction form
    405.21/558.54 = 305.48/x
  3. Step 3: Cross multiply
    405.21x = 558.54 × 305.48
  4. Step 4: Simplify right side
    405.21x = 170,622.80
  5. Step 5: Solve for x
    x = 170,622.80/405.21
  6. Step 6: Final answer
    x = 421.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.