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Finding the Fourth Proportional to 544.46, 750.90 and 461.75

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Solution

The fourth proportional to 544.46, 750.90 and 461.75 is: 636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.46 : 750.90 = 461.75 : x
  2. Step 2: Convert to fraction form
    544.46/750.90 = 461.75/x
  3. Step 3: Cross multiply
    544.46x = 750.90 × 461.75
  4. Step 4: Simplify right side
    544.46x = 346,728.08
  5. Step 5: Solve for x
    x = 346,728.08/544.46
  6. Step 6: Final answer
    x = 636.83

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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.