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Finding the Fourth Proportional to 445.82, 615.20 and 409.10

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Solution

The fourth proportional to 445.82, 615.20 and 409.10 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.82 : 615.20 = 409.10 : x
  2. Step 2: Convert to fraction form
    445.82/615.20 = 409.10/x
  3. Step 3: Cross multiply
    445.82x = 615.20 × 409.10
  4. Step 4: Simplify right side
    445.82x = 251,678.32
  5. Step 5: Solve for x
    x = 251,678.32/445.82
  6. Step 6: Final answer
    x = 564.53

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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.