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Finding the Fourth Proportional to 413, 619.62 and 166.28

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Solution

The fourth proportional to 413, 619.62 and 166.28 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413 : 619.62 = 166.28 : x
  2. Step 2: Convert to fraction form
    413/619.62 = 166.28/x
  3. Step 3: Cross multiply
    413x = 619.62 × 166.28
  4. Step 4: Simplify right side
    413x = 103,029.58
  5. Step 5: Solve for x
    x = 103,029.58/413
  6. Step 6: Final answer
    x = 249.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.