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Finding the Fourth Proportional to 405.42, 556.22 and 402.06

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Solution

The fourth proportional to 405.42, 556.22 and 402.06 is: 551.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.42 : 556.22 = 402.06 : x
  2. Step 2: Convert to fraction form
    405.42/556.22 = 402.06/x
  3. Step 3: Cross multiply
    405.42x = 556.22 × 402.06
  4. Step 4: Simplify right side
    405.42x = 223,631.80
  5. Step 5: Solve for x
    x = 223,631.80/405.42
  6. Step 6: Final answer
    x = 551.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.