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Finding the Fourth Proportional to 393.06, 542.14 and 300.03

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Solution

The fourth proportional to 393.06, 542.14 and 300.03 is: 413.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.06 : 542.14 = 300.03 : x
  2. Step 2: Convert to fraction form
    393.06/542.14 = 300.03/x
  3. Step 3: Cross multiply
    393.06x = 542.14 × 300.03
  4. Step 4: Simplify right side
    393.06x = 162,656.79
  5. Step 5: Solve for x
    x = 162,656.79/393.06
  6. Step 6: Final answer
    x = 413.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.