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Finding the Fourth Proportional to 523.85, 720.81 and 509.49

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Solution

The fourth proportional to 523.85, 720.81 and 509.49 is: 701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.85 : 720.81 = 509.49 : x
  2. Step 2: Convert to fraction form
    523.85/720.81 = 509.49/x
  3. Step 3: Cross multiply
    523.85x = 720.81 × 509.49
  4. Step 4: Simplify right side
    523.85x = 367,245.49
  5. Step 5: Solve for x
    x = 367,245.49/523.85
  6. Step 6: Final answer
    x = 701.06

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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.