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Finding the Fourth Proportional to 484.05, 667.50 and 414.35

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Solution

The fourth proportional to 484.05, 667.50 and 414.35 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.05 : 667.50 = 414.35 : x
  2. Step 2: Convert to fraction form
    484.05/667.50 = 414.35/x
  3. Step 3: Cross multiply
    484.05x = 667.50 × 414.35
  4. Step 4: Simplify right side
    484.05x = 276,575.29
  5. Step 5: Solve for x
    x = 276,575.29/484.05
  6. Step 6: Final answer
    x = 571.38

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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.