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Finding the Fourth Proportional to 592.42, 887.45 and 361.44

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Solution

The fourth proportional to 592.42, 887.45 and 361.44 is: 541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.42 : 887.45 = 361.44 : x
  2. Step 2: Convert to fraction form
    592.42/887.45 = 361.44/x
  3. Step 3: Cross multiply
    592.42x = 887.45 × 361.44
  4. Step 4: Simplify right side
    592.42x = 320,759.93
  5. Step 5: Solve for x
    x = 320,759.93/592.42
  6. Step 6: Final answer
    x = 541.44

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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.