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Finding the Fourth Proportional to 445.47, 613.78 and 415.36

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Solution

The fourth proportional to 445.47, 613.78 and 415.36 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.47 : 613.78 = 415.36 : x
  2. Step 2: Convert to fraction form
    445.47/613.78 = 415.36/x
  3. Step 3: Cross multiply
    445.47x = 613.78 × 415.36
  4. Step 4: Simplify right side
    445.47x = 254,939.66
  5. Step 5: Solve for x
    x = 254,939.66/445.47
  6. Step 6: Final answer
    x = 572.29

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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.