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Finding the Fourth Proportional to 452.17, 678.35 and 406.81

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Solution

The fourth proportional to 452.17, 678.35 and 406.81 is: 610.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.17 : 678.35 = 406.81 : x
  2. Step 2: Convert to fraction form
    452.17/678.35 = 406.81/x
  3. Step 3: Cross multiply
    452.17x = 678.35 × 406.81
  4. Step 4: Simplify right side
    452.17x = 275,958.88
  5. Step 5: Solve for x
    x = 275,958.88/452.17
  6. Step 6: Final answer
    x = 610.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.