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Finding the Fourth Proportional to 622.18, 933.47 and 211.58

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Solution

The fourth proportional to 622.18, 933.47 and 211.58 is: 317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.18 : 933.47 = 211.58 : x
  2. Step 2: Convert to fraction form
    622.18/933.47 = 211.58/x
  3. Step 3: Cross multiply
    622.18x = 933.47 × 211.58
  4. Step 4: Simplify right side
    622.18x = 197,497.86
  5. Step 5: Solve for x
    x = 197,497.86/622.18
  6. Step 6: Final answer
    x = 317.43

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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.