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Finding the Fourth Proportional to 362.21, 542.30 and 246.51

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Solution

The fourth proportional to 362.21, 542.30 and 246.51 is: 369.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.21 : 542.30 = 246.51 : x
  2. Step 2: Convert to fraction form
    362.21/542.30 = 246.51/x
  3. Step 3: Cross multiply
    362.21x = 542.30 × 246.51
  4. Step 4: Simplify right side
    362.21x = 133,681.14
  5. Step 5: Solve for x
    x = 133,681.14/362.21
  6. Step 6: Final answer
    x = 369.08

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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.