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Finding the Fourth Proportional to 441.64, 609.22 and 410.35

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Solution

The fourth proportional to 441.64, 609.22 and 410.35 is: 566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.64 : 609.22 = 410.35 : x
  2. Step 2: Convert to fraction form
    441.64/609.22 = 410.35/x
  3. Step 3: Cross multiply
    441.64x = 609.22 × 410.35
  4. Step 4: Simplify right side
    441.64x = 249,993.43
  5. Step 5: Solve for x
    x = 249,993.43/441.64
  6. Step 6: Final answer
    x = 566.06

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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.