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Finding the Fourth Proportional to 523.08, 782.37 and 435.60

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Solution

The fourth proportional to 523.08, 782.37 and 435.60 is: 651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.08 : 782.37 = 435.60 : x
  2. Step 2: Convert to fraction form
    523.08/782.37 = 435.60/x
  3. Step 3: Cross multiply
    523.08x = 782.37 × 435.60
  4. Step 4: Simplify right side
    523.08x = 340,800.37
  5. Step 5: Solve for x
    x = 340,800.37/523.08
  6. Step 6: Final answer
    x = 651.53

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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.