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Finding the Fourth Proportional to 524.60, 722.30 and 445.75

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Solution

The fourth proportional to 524.60, 722.30 and 445.75 is: 613.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.60 : 722.30 = 445.75 : x
  2. Step 2: Convert to fraction form
    524.60/722.30 = 445.75/x
  3. Step 3: Cross multiply
    524.60x = 722.30 × 445.75
  4. Step 4: Simplify right side
    524.60x = 321,965.23
  5. Step 5: Solve for x
    x = 321,965.23/524.60
  6. Step 6: Final answer
    x = 613.73

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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.