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Finding the Fourth Proportional to 362.15, 542.58 and 289.86

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Solution

The fourth proportional to 362.15, 542.58 and 289.86 is: 434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.15 : 542.58 = 289.86 : x
  2. Step 2: Convert to fraction form
    362.15/542.58 = 289.86/x
  3. Step 3: Cross multiply
    362.15x = 542.58 × 289.86
  4. Step 4: Simplify right side
    362.15x = 157,272.24
  5. Step 5: Solve for x
    x = 157,272.24/362.15
  6. Step 6: Final answer
    x = 434.27

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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.