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Finding the Fourth Proportional to 622.58, 933.39 and 297.74

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Solution

The fourth proportional to 622.58, 933.39 and 297.74 is: 446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.58 : 933.39 = 297.74 : x
  2. Step 2: Convert to fraction form
    622.58/933.39 = 297.74/x
  3. Step 3: Cross multiply
    622.58x = 933.39 × 297.74
  4. Step 4: Simplify right side
    622.58x = 277,907.54
  5. Step 5: Solve for x
    x = 277,907.54/622.58
  6. Step 6: Final answer
    x = 446.38

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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.