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Finding the Fourth Proportional to 426.96, 589.08 and 261

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Solution

The fourth proportional to 426.96, 589.08 and 261 is: 360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 589.08 = 261 : x
  2. Step 2: Convert to fraction form
    426.96/589.08 = 261/x
  3. Step 3: Cross multiply
    426.96x = 589.08 × 261
  4. Step 4: Simplify right side
    426.96x = 153,748.58
  5. Step 5: Solve for x
    x = 153,748.58/426.96
  6. Step 6: Final answer
    x = 360.10

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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.