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Finding the Fourth Proportional to 362.30, 542.72 and 300.77

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Solution

The fourth proportional to 362.30, 542.72 and 300.77 is: 450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.30 : 542.72 = 300.77 : x
  2. Step 2: Convert to fraction form
    362.30/542.72 = 300.77/x
  3. Step 3: Cross multiply
    362.30x = 542.72 × 300.77
  4. Step 4: Simplify right side
    362.30x = 163,229.68
  5. Step 5: Solve for x
    x = 163,229.68/362.30
  6. Step 6: Final answer
    x = 450.54

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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.