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Finding the Fourth Proportional to 881.72, 1,322.51 and 361.58

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Solution

The fourth proportional to 881.72, 1,322.51 and 361.58 is: 542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.72 : 1,322.51 = 361.58 : x
  2. Step 2: Convert to fraction form
    881.72/1,322.51 = 361.58/x
  3. Step 3: Cross multiply
    881.72x = 1,322.51 × 361.58
  4. Step 4: Simplify right side
    881.72x = 478,184.75
  5. Step 5: Solve for x
    x = 478,184.75/881.72
  6. Step 6: Final answer
    x = 542.33

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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.