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Finding the Fourth Proportional to 465.66, 699.36 and 412.74

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Solution

The fourth proportional to 465.66, 699.36 and 412.74 is: 619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.66 : 699.36 = 412.74 : x
  2. Step 2: Convert to fraction form
    465.66/699.36 = 412.74/x
  3. Step 3: Cross multiply
    465.66x = 699.36 × 412.74
  4. Step 4: Simplify right side
    465.66x = 288,653.85
  5. Step 5: Solve for x
    x = 288,653.85/465.66
  6. Step 6: Final answer
    x = 619.88

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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.