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Finding the Fourth Proportional to 500, 690.24 and 471.20

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Solution

The fourth proportional to 500, 690.24 and 471.20 is: 650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500 : 690.24 = 471.20 : x
  2. Step 2: Convert to fraction form
    500/690.24 = 471.20/x
  3. Step 3: Cross multiply
    500x = 690.24 × 471.20
  4. Step 4: Simplify right side
    500x = 325,241.09
  5. Step 5: Solve for x
    x = 325,241.09/500
  6. Step 6: Final answer
    x = 650.48

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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.