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Finding the Fourth Proportional to 426.95, 589.30 and 261.27

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Solution

The fourth proportional to 426.95, 589.30 and 261.27 is: 360.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.95 : 589.30 = 261.27 : x
  2. Step 2: Convert to fraction form
    426.95/589.30 = 261.27/x
  3. Step 3: Cross multiply
    426.95x = 589.30 × 261.27
  4. Step 4: Simplify right side
    426.95x = 153,966.41
  5. Step 5: Solve for x
    x = 153,966.41/426.95
  6. Step 6: Final answer
    x = 360.62

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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.