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Finding the Fourth Proportional to 362.53, 542.58 and 301.78

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Solution

The fourth proportional to 362.53, 542.58 and 301.78 is: 451.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.53 : 542.58 = 301.78 : x
  2. Step 2: Convert to fraction form
    362.53/542.58 = 301.78/x
  3. Step 3: Cross multiply
    362.53x = 542.58 × 301.78
  4. Step 4: Simplify right side
    362.53x = 163,739.79
  5. Step 5: Solve for x
    x = 163,739.79/362.53
  6. Step 6: Final answer
    x = 451.66

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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.