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Finding the Fourth Proportional to 523.59, 720.99 and 445.02

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Solution

The fourth proportional to 523.59, 720.99 and 445.02 is: 612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.59 : 720.99 = 445.02 : x
  2. Step 2: Convert to fraction form
    523.59/720.99 = 445.02/x
  3. Step 3: Cross multiply
    523.59x = 720.99 × 445.02
  4. Step 4: Simplify right side
    523.59x = 320,854.97
  5. Step 5: Solve for x
    x = 320,854.97/523.59
  6. Step 6: Final answer
    x = 612.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.