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Finding the Fourth Proportional to 471.88, 651.16 and 306.08

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Solution

The fourth proportional to 471.88, 651.16 and 306.08 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.88 : 651.16 = 306.08 : x
  2. Step 2: Convert to fraction form
    471.88/651.16 = 306.08/x
  3. Step 3: Cross multiply
    471.88x = 651.16 × 306.08
  4. Step 4: Simplify right side
    471.88x = 199,307.05
  5. Step 5: Solve for x
    x = 199,307.05/471.88
  6. Step 6: Final answer
    x = 422.37

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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.