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Finding the Fourth Proportional to 362.44, 542.24 and 304.32

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Solution

The fourth proportional to 362.44, 542.24 and 304.32 is: 455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.44 : 542.24 = 304.32 : x
  2. Step 2: Convert to fraction form
    362.44/542.24 = 304.32/x
  3. Step 3: Cross multiply
    362.44x = 542.24 × 304.32
  4. Step 4: Simplify right side
    362.44x = 165,017.84
  5. Step 5: Solve for x
    x = 165,017.84/362.44
  6. Step 6: Final answer
    x = 455.30

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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.