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Finding the Fourth Proportional to 592.16, 888.50 and 361.23

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Solution

The fourth proportional to 592.16, 888.50 and 361.23 is: 542.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.16 : 888.50 = 361.23 : x
  2. Step 2: Convert to fraction form
    592.16/888.50 = 361.23/x
  3. Step 3: Cross multiply
    592.16x = 888.50 × 361.23
  4. Step 4: Simplify right side
    592.16x = 320,951.05
  5. Step 5: Solve for x
    x = 320,951.05/592.16
  6. Step 6: Final answer
    x = 542.01

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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.