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Finding the Fourth Proportional to 362.08, 542.40 and 259.12

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Solution

The fourth proportional to 362.08, 542.40 and 259.12 is: 388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.08 : 542.40 = 259.12 : x
  2. Step 2: Convert to fraction form
    362.08/542.40 = 259.12/x
  3. Step 3: Cross multiply
    362.08x = 542.40 × 259.12
  4. Step 4: Simplify right side
    362.08x = 140,546.69
  5. Step 5: Solve for x
    x = 140,546.69/362.08
  6. Step 6: Final answer
    x = 388.16

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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.