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Finding the Fourth Proportional to 907.98, 1,361.85 and 330.78

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Solution

The fourth proportional to 907.98, 1,361.85 and 330.78 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.98 : 1,361.85 = 330.78 : x
  2. Step 2: Convert to fraction form
    907.98/1,361.85 = 330.78/x
  3. Step 3: Cross multiply
    907.98x = 1,361.85 × 330.78
  4. Step 4: Simplify right side
    907.98x = 450,472.74
  5. Step 5: Solve for x
    x = 450,472.74/907.98
  6. Step 6: Final answer
    x = 496.13

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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.