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Finding the Fourth Proportional to 405.06, 558.41 and 286.94

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Solution

The fourth proportional to 405.06, 558.41 and 286.94 is: 395.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.06 : 558.41 = 286.94 : x
  2. Step 2: Convert to fraction form
    405.06/558.41 = 286.94/x
  3. Step 3: Cross multiply
    405.06x = 558.41 × 286.94
  4. Step 4: Simplify right side
    405.06x = 160,225.94
  5. Step 5: Solve for x
    x = 160,225.94/405.06
  6. Step 6: Final answer
    x = 395.56

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Why These Related Problems?

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