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Finding the Fourth Proportional to 907.64, 1,361.61 and 330.38

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Solution

The fourth proportional to 907.64, 1,361.61 and 330.38 is: 495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.64 : 1,361.61 = 330.38 : x
  2. Step 2: Convert to fraction form
    907.64/1,361.61 = 330.38/x
  3. Step 3: Cross multiply
    907.64x = 1,361.61 × 330.38
  4. Step 4: Simplify right side
    907.64x = 449,841.90
  5. Step 5: Solve for x
    x = 449,841.90/907.64
  6. Step 6: Final answer
    x = 495.62

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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.