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Finding the Fourth Proportional to 405.36, 558.78 and 280.82

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Solution

The fourth proportional to 405.36, 558.78 and 280.82 is: 387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.36 : 558.78 = 280.82 : x
  2. Step 2: Convert to fraction form
    405.36/558.78 = 280.82/x
  3. Step 3: Cross multiply
    405.36x = 558.78 × 280.82
  4. Step 4: Simplify right side
    405.36x = 156,913.81
  5. Step 5: Solve for x
    x = 156,913.81/405.36
  6. Step 6: Final answer
    x = 387.10

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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.