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Finding the Fourth Proportional to 362.00, 542.01 and 263.99

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Solution

The fourth proportional to 362.00, 542.01 and 263.99 is: 395.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.00 : 542.01 = 263.99 : x
  2. Step 2: Convert to fraction form
    362.00/542.01 = 263.99/x
  3. Step 3: Cross multiply
    362.00x = 542.01 × 263.99
  4. Step 4: Simplify right side
    362.00x = 143,083.03
  5. Step 5: Solve for x
    x = 143,083.03/362.00
  6. Step 6: Final answer
    x = 395.26

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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.