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Finding the Fourth Proportional to 426.93, 589.17 and 261.15

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Solution

The fourth proportional to 426.93, 589.17 and 261.15 is: 360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.93 : 589.17 = 261.15 : x
  2. Step 2: Convert to fraction form
    426.93/589.17 = 261.15/x
  3. Step 3: Cross multiply
    426.93x = 589.17 × 261.15
  4. Step 4: Simplify right side
    426.93x = 153,861.75
  5. Step 5: Solve for x
    x = 153,861.75/426.93
  6. Step 6: Final answer
    x = 360.39

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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.