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Finding the Fourth Proportional to 523.36, 785 and 332.20

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Solution

The fourth proportional to 523.36, 785 and 332.20 is: 498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 785 = 332.20 : x
  2. Step 2: Convert to fraction form
    523.36/785 = 332.20/x
  3. Step 3: Cross multiply
    523.36x = 785 × 332.20
  4. Step 4: Simplify right side
    523.36x = 260,777
  5. Step 5: Solve for x
    x = 260,777/523.36
  6. Step 6: Final answer
    x = 498.27

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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.