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Finding the Fourth Proportional to 466.53, 699.24 and 412.53

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Solution

The fourth proportional to 466.53, 699.24 and 412.53 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.53 : 699.24 = 412.53 : x
  2. Step 2: Convert to fraction form
    466.53/699.24 = 412.53/x
  3. Step 3: Cross multiply
    466.53x = 699.24 × 412.53
  4. Step 4: Simplify right side
    466.53x = 288,453.98
  5. Step 5: Solve for x
    x = 288,453.98/466.53
  6. Step 6: Final answer
    x = 618.30

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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.