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Finding the Fourth Proportional to 523.08, 720.12 and 435.60

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Solution

The fourth proportional to 523.08, 720.12 and 435.60 is: 599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 720.12 = 435.60 : x
  2. Step 2: Convert to fraction form
    523.08/720.12 = 435.60/x
  3. Step 3: Cross multiply
    523.08x = 720.12 × 435.60
  4. Step 4: Simplify right side
    523.08x = 313,684.27
  5. Step 5: Solve for x
    x = 313,684.27/523.08
  6. Step 6: Final answer
    x = 599.69

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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.