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Finding the Fourth Proportional to 907.56, 1,361.06 and 291.11

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Solution

The fourth proportional to 907.56, 1,361.06 and 291.11 is: 436.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.56 : 1,361.06 = 291.11 : x
  2. Step 2: Convert to fraction form
    907.56/1,361.06 = 291.11/x
  3. Step 3: Cross multiply
    907.56x = 1,361.06 × 291.11
  4. Step 4: Simplify right side
    907.56x = 396,209.92
  5. Step 5: Solve for x
    x = 396,209.92/907.56
  6. Step 6: Final answer
    x = 436.57

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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.