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Finding the Fourth Proportional to 483.98, 667.31 and 414.18

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Solution

The fourth proportional to 483.98, 667.31 and 414.18 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.98 : 667.31 = 414.18 : x
  2. Step 2: Convert to fraction form
    483.98/667.31 = 414.18/x
  3. Step 3: Cross multiply
    483.98x = 667.31 × 414.18
  4. Step 4: Simplify right side
    483.98x = 276,384.38
  5. Step 5: Solve for x
    x = 276,384.38/483.98
  6. Step 6: Final answer
    x = 571.07

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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.