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Finding the Fourth Proportional to 622.29, 931.41 and 347.70

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Solution

The fourth proportional to 622.29, 931.41 and 347.70 is: 520.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.29 : 931.41 = 347.70 : x
  2. Step 2: Convert to fraction form
    622.29/931.41 = 347.70/x
  3. Step 3: Cross multiply
    622.29x = 931.41 × 347.70
  4. Step 4: Simplify right side
    622.29x = 323,851.26
  5. Step 5: Solve for x
    x = 323,851.26/622.29
  6. Step 6: Final answer
    x = 520.42

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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.