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Finding the Fourth Proportional to 622.73, 933.64 and 314.44

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Solution

The fourth proportional to 622.73, 933.64 and 314.44 is: 471.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.73 : 933.64 = 314.44 : x
  2. Step 2: Convert to fraction form
    622.73/933.64 = 314.44/x
  3. Step 3: Cross multiply
    622.73x = 933.64 × 314.44
  4. Step 4: Simplify right side
    622.73x = 293,573.76
  5. Step 5: Solve for x
    x = 293,573.76/622.73
  6. Step 6: Final answer
    x = 471.43

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Why These Related Problems?

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