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Finding the Fourth Proportional to 362.18, 542.75 and 270.81

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Solution

The fourth proportional to 362.18, 542.75 and 270.81 is: 405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.18 : 542.75 = 270.81 : x
  2. Step 2: Convert to fraction form
    362.18/542.75 = 270.81/x
  3. Step 3: Cross multiply
    362.18x = 542.75 × 270.81
  4. Step 4: Simplify right side
    362.18x = 146,980.77
  5. Step 5: Solve for x
    x = 146,980.77/362.18
  6. Step 6: Final answer
    x = 405.82

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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.