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Finding the Fourth Proportional to 907.42, 1,361.19 and 330.34

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Solution

The fourth proportional to 907.42, 1,361.19 and 330.34 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.42 : 1,361.19 = 330.34 : x
  2. Step 2: Convert to fraction form
    907.42/1,361.19 = 330.34/x
  3. Step 3: Cross multiply
    907.42x = 1,361.19 × 330.34
  4. Step 4: Simplify right side
    907.42x = 449,655.50
  5. Step 5: Solve for x
    x = 449,655.50/907.42
  6. Step 6: Final answer
    x = 495.53

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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.