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Finding the Fourth Proportional to 622.02, 933.41 and 232.06

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Solution

The fourth proportional to 622.02, 933.41 and 232.06 is: 348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 933.41 = 232.06 : x
  2. Step 2: Convert to fraction form
    622.02/933.41 = 232.06/x
  3. Step 3: Cross multiply
    622.02x = 933.41 × 232.06
  4. Step 4: Simplify right side
    622.02x = 216,607.12
  5. Step 5: Solve for x
    x = 216,607.12/622.02
  6. Step 6: Final answer
    x = 348.23

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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.