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Finding the Fourth Proportional to 907.17, 1,361.03 and 290.96

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Solution

The fourth proportional to 907.17, 1,361.03 and 290.96 is: 436.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.17 : 1,361.03 = 290.96 : x
  2. Step 2: Convert to fraction form
    907.17/1,361.03 = 290.96/x
  3. Step 3: Cross multiply
    907.17x = 1,361.03 × 290.96
  4. Step 4: Simplify right side
    907.17x = 396,007.24
  5. Step 5: Solve for x
    x = 396,007.24/907.17
  6. Step 6: Final answer
    x = 436.53

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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.