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Finding the Fourth Proportional to 907.80, 1,361.88 and 291.48

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Solution

The fourth proportional to 907.80, 1,361.88 and 291.48 is: 437.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.80 : 1,361.88 = 291.48 : x
  2. Step 2: Convert to fraction form
    907.80/1,361.88 = 291.48/x
  3. Step 3: Cross multiply
    907.80x = 1,361.88 × 291.48
  4. Step 4: Simplify right side
    907.80x = 396,960.78
  5. Step 5: Solve for x
    x = 396,960.78/907.80
  6. Step 6: Final answer
    x = 437.28

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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.