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Finding the Fourth Proportional to 405.18, 559.35 and 288.90

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Solution

The fourth proportional to 405.18, 559.35 and 288.90 is: 398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.18 : 559.35 = 288.90 : x
  2. Step 2: Convert to fraction form
    405.18/559.35 = 288.90/x
  3. Step 3: Cross multiply
    405.18x = 559.35 × 288.90
  4. Step 4: Simplify right side
    405.18x = 161,596.22
  5. Step 5: Solve for x
    x = 161,596.22/405.18
  6. Step 6: Final answer
    x = 398.83

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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.