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Finding the Fourth Proportional to 426.08, 587.58 and 301.70

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Solution

The fourth proportional to 426.08, 587.58 and 301.70 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.08 : 587.58 = 301.70 : x
  2. Step 2: Convert to fraction form
    426.08/587.58 = 301.70/x
  3. Step 3: Cross multiply
    426.08x = 587.58 × 301.70
  4. Step 4: Simplify right side
    426.08x = 177,272.89
  5. Step 5: Solve for x
    x = 177,272.89/426.08
  6. Step 6: Final answer
    x = 416.06

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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.