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Finding the Fourth Proportional to 361.54, 542.37 and 322.77

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Solution

The fourth proportional to 361.54, 542.37 and 322.77 is: 484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.54 : 542.37 = 322.77 : x
  2. Step 2: Convert to fraction form
    361.54/542.37 = 322.77/x
  3. Step 3: Cross multiply
    361.54x = 542.37 × 322.77
  4. Step 4: Simplify right side
    361.54x = 175,060.76
  5. Step 5: Solve for x
    x = 175,060.76/361.54
  6. Step 6: Final answer
    x = 484.21

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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.