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Finding the Fourth Proportional to 881.64, 1,322.25 and 361.50

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Solution

The fourth proportional to 881.64, 1,322.25 and 361.50 is: 542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,322.25 = 361.50 : x
  2. Step 2: Convert to fraction form
    881.64/1,322.25 = 361.50/x
  3. Step 3: Cross multiply
    881.64x = 1,322.25 × 361.50
  4. Step 4: Simplify right side
    881.64x = 477,993.38
  5. Step 5: Solve for x
    x = 477,993.38/881.64
  6. Step 6: Final answer
    x = 542.16

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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.