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Finding the Fourth Proportional to 544.42, 816.63 and 301.06

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Solution

The fourth proportional to 544.42, 816.63 and 301.06 is: 451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.42 : 816.63 = 301.06 : x
  2. Step 2: Convert to fraction form
    544.42/816.63 = 301.06/x
  3. Step 3: Cross multiply
    544.42x = 816.63 × 301.06
  4. Step 4: Simplify right side
    544.42x = 245,854.63
  5. Step 5: Solve for x
    x = 245,854.63/544.42
  6. Step 6: Final answer
    x = 451.59

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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.