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Finding the Fourth Proportional to 467.69, 645.69 and 415.80

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Solution

The fourth proportional to 467.69, 645.69 and 415.80 is: 574.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.69 : 645.69 = 415.80 : x
  2. Step 2: Convert to fraction form
    467.69/645.69 = 415.80/x
  3. Step 3: Cross multiply
    467.69x = 645.69 × 415.80
  4. Step 4: Simplify right side
    467.69x = 268,472.59
  5. Step 5: Solve for x
    x = 268,472.59/467.69
  6. Step 6: Final answer
    x = 574.05

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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.