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Finding the Fourth Proportional to 622.87, 933.69 and 257.15

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Solution

The fourth proportional to 622.87, 933.69 and 257.15 is: 385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.87 : 933.69 = 257.15 : x
  2. Step 2: Convert to fraction form
    622.87/933.69 = 257.15/x
  3. Step 3: Cross multiply
    622.87x = 933.69 × 257.15
  4. Step 4: Simplify right side
    622.87x = 240,098.38
  5. Step 5: Solve for x
    x = 240,098.38/622.87
  6. Step 6: Final answer
    x = 385.47

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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.