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Finding the Fourth Proportional to 622.21, 932.37 and 313.20

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Solution

The fourth proportional to 622.21, 932.37 and 313.20 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.21 : 932.37 = 313.20 : x
  2. Step 2: Convert to fraction form
    622.21/932.37 = 313.20/x
  3. Step 3: Cross multiply
    622.21x = 932.37 × 313.20
  4. Step 4: Simplify right side
    622.21x = 292,016.72
  5. Step 5: Solve for x
    x = 292,016.72/622.21
  6. Step 6: Final answer
    x = 469.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.