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Finding the Fourth Proportional to 484.02, 667.98 and 410.31

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Solution

The fourth proportional to 484.02, 667.98 and 410.31 is: 566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.02 : 667.98 = 410.31 : x
  2. Step 2: Convert to fraction form
    484.02/667.98 = 410.31/x
  3. Step 3: Cross multiply
    484.02x = 667.98 × 410.31
  4. Step 4: Simplify right side
    484.02x = 274,078.87
  5. Step 5: Solve for x
    x = 274,078.87/484.02
  6. Step 6: Final answer
    x = 566.26

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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.