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Finding the Fourth Proportional to 483.60, 665.82 and 409.80

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Solution

The fourth proportional to 483.60, 665.82 and 409.80 is: 564.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.60 : 665.82 = 409.80 : x
  2. Step 2: Convert to fraction form
    483.60/665.82 = 409.80/x
  3. Step 3: Cross multiply
    483.60x = 665.82 × 409.80
  4. Step 4: Simplify right side
    483.60x = 272,853.04
  5. Step 5: Solve for x
    x = 272,853.04/483.60
  6. Step 6: Final answer
    x = 564.21

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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.