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Finding the Fourth Proportional to 426.15, 587.70 and 301.86

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Solution

The fourth proportional to 426.15, 587.70 and 301.86 is: 416.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.15 : 587.70 = 301.86 : x
  2. Step 2: Convert to fraction form
    426.15/587.70 = 301.86/x
  3. Step 3: Cross multiply
    426.15x = 587.70 × 301.86
  4. Step 4: Simplify right side
    426.15x = 177,403.12
  5. Step 5: Solve for x
    x = 177,403.12/426.15
  6. Step 6: Final answer
    x = 416.29

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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.