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Finding the Fourth Proportional to 361.92, 542.35 and 285.07

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Solution

The fourth proportional to 361.92, 542.35 and 285.07 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 542.35 = 285.07 : x
  2. Step 2: Convert to fraction form
    361.92/542.35 = 285.07/x
  3. Step 3: Cross multiply
    361.92x = 542.35 × 285.07
  4. Step 4: Simplify right side
    361.92x = 154,606.13
  5. Step 5: Solve for x
    x = 154,606.13/361.92
  6. Step 6: Final answer
    x = 427.19

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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.